The synchronism of crustal thickening and low-pressure facies metamorphism in the Mount Isa Inlier, Australia 2. Fast convective thinning of mantle lithosphere during crustal thickening

The synchronism of crustal thickening and low-pressure facies metamorphism in the Mount Isa Inlier, Australia 2. Fast convective thinning of mantle lithosphere during crustal thickening

Tectonophysics, 165 (1989) 191-218 Elsevier Science Publishers 191 B.V., Amsterdam - Printed in The Netherlands The synchronism of crustal thic...

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Tectonophysics,

165 (1989) 191-218

Elsevier Science Publishers

191

B.V., Amsterdam

- Printed

in The Netherlands

The synchronism of crustal thickening and low-pressure facies metamorphism in the Mount Isa Inlier, Australia 2. Fast convective thinning of mantle lithosphere during crustal thickening RAMON Department

of Geology, Australian

(Received

February

J.H. LOOSVELD National

23,1988;

University,

revised version

*

Canberra, A.C. T. 2601 (Australia)

accepted

December

15,1988)

Abstract Loosveld,

R.J.H.,

1989. The synchronism

Inlier, Australia.

2. Fast convective

of crustal thinning

thickening

of mantle

and low-pressure

lithosphere

facies metamorphism

during’crustal

thickening.

in the Mount

Isa

Tectonophysics,

165:

191-218. The Mount

Isa Inlier is, like some other northern

by an anti-clockwise thickening study,

(

+AP,

two possible

quantitatively immediately delamination,

P-T-t

path:

i.e. regional,

+ AT), and were overprinted models

evaluated before

for the synchronism

using

latter results in prograde

low-P

event,

thickening

due

Early to Middle

low-P

of essentially

of regional,

low-P

to e.g. lithospheric

facies metamorphism

by (convective) during

crustal

isobaric

fold belts, characterized

assemblages cooling

facies metamorphism

finite-difference

accompanied

Proterozoic

facies metamorphic

by a phase

a one-dimensional,

the thickening

and (2) crustal

Australian

prograde

and crustal

technique:

(1) extreme

extension,

magmatic

thinning

thickening.

grew during

crustal

(AP - 0, -AT).

thickening

elevation activity,

of the mantle

are

of isotherms

or crust-mantle

lithosphere.

It is the preferred

In this

Only

the

model for the Mount

Isa Inlier.

Introduction

developed

In the companion paper (Loosveld, Part I, 1989), the simultaneous development of low-P facies metamorphism ratios, characterized stability

field,

(i.e. low metamorphic P/T by the andalusite-sillimanite

Miyashiro,

1973) and

a phase

crustal thickening in the central Soldiers Cap Group belt, eastern Mount Isa Inlier (Fig. l), Australia, was demonstrated. A direct effect of crustal thickening alone, however, must be the general increase of P/T ratios (resulting in many erogenic situations in high-P facies phism). If steep metamorphic gradients

* Present

address:

Koninklijke/Shell

Box 60, 2280 AB Rijswijk, 0040-1951/89/$03.50

Explor.

metamorhave only

Prod. Lab., P.O.

The Netherlands.

0 1989 Elsevier Science Publishers

B.V

structural

positions,

like those

high in a nappe sheet, the anomalously high temperatures can be explained by fast erosion (decompression) of the thickened crust and/or heating induced by the overlying nappe Moderately

of

in certain

high metamorphic

are not restricted

to these

gradients, structural

by the sheets. however,

positions

in

the Mount Isa Inlier (Wilson, 1973; Hill et al., 1975; Derrick et al., 1977; Derrick, 1980; Hamilton, 1985; Oliver and Wall, 1987; Reinhardt and Hamilton, in prep; Oliver et al., in prep.). They prevail throughout the Soldiers Cap Group. A remaining problem is to find a heat source which could explain the overall steep metamorphic gradients during the thickening of the crust. A wide variety of fold belts has undergone low-P facies metamorphism, similar to that of the Mount Isa Inlier. Examples can be found in the

192

The deeper

in the crust,

phic conditions tive

is the heating.

concluded 20”

the later peak metamor-

are attained,

that Archaean

mes were similar

and the more effec-

England

and

continental

Bickle

(1984)

thermal

regi-

thermal

regi-

to those at present.

The hypothesis

that Precambrian

mes are similar to those at present does not, however, comprehensively address the problem of the lack of relict high-P Precambrian. eclogites,

glaucophane

kyanite-bearing Lepontine 40”

: Fig. 1. Distribution to Middle Inliers

are

Murphy;

of Australian

Proterozoic numbered:

4-Tennant

-Halls

Creek;

Leopold

Mobile

Musgrave;

Archaean

fold belts (after 1 -Coen; Creek;

Belt;

I4--Crawler;

II -Paterson; I5-Mount

and Early

et al., 1987).

Z-Georgetown;

S-Arnhem;

8 -Granites-Tans;

cratons

Etheridge 6-Pine

3Creek;

9 -Arunta; IZ-Capricorn; Painter;

7

10 -King I_?--

16-Willyama;

I7-Albany-Fraser.

phism,

+

jadeite

rocks, although moderate-i’/

in the

in the Western schists,

overprinted

moderate-P

are in places still recognizable

Alps, and by the

metamor(Frey et al.,

1974). P-T-t paths are clockwise in the P-T field (Fig. 2, trajectory “A”. Note: Abbreviations are defined

in Appendix

paths are generated els, which simulate

I ). Such clockwise

P-T-t

in virtually all numerical modcrustal or lithosphe~c thicken-

ing (e.g., England and Thompson, 1984; Davy and Gillet, 1986; Thompson and Ridley, 1987). With certain favourable parameterisations in these models,

Hercyno-type erogenic belts of Zwart (1967), but more commonly in the Archaean (granite-green-

facies assemblages

For example,

geotherms

will transect

the low-P

facies

(andalusite-sillima~te) field for some period of time. They can only do so, however, during postthickening decompression ( - A P, 4 AT), unless a combination of extreme parameters is assumed, e.g. an initial geotherm, which already transects the andalusite-sillimanite field, very low strain

stone) terranes (Grambling, 1981; Green, 1981) and Proterozoic fold belts (Grambling, 1981; Lambert, 1983). This secular trend seems to reflect the overall cooling of the Earth through geological

rates, low conductivities, and a high radioactive heat generation. If tectonic and thermal regimes of

time. England and Richardson (1977) and England and Bickle (1984) however, pointed out that

the Precambrian the Phanerozoic.

peak

of the Western Alps, the Precambrian trajectories should resemble their Alpine

metamorphic

conditions

reflect

points

transient and polychronous rnet~o~~c than on steady-state geothermal gradients.

on

rather Thus,

the apparent time-dependence of peak-metamorphic conditions should be attributed to erosionrate-dependent thermal relaxation of a tectonically thickened crust: radioactive selfheating in a slowly eroding thickened crust may lead to overprinting of early high-P facies assemblages by moderate-to low-P facies assemblages (e.g. in the European Alps, the overprinting of the Eo-Alpine high-P facies metamorphic event by the Lepontine moderate-P, moderate-T event). Depending on reaction kinetics, even (near) total disappearance of the early high-P facies assemblages may occur.

fold belts were similar to those of or even more specifically, to those P-T-f counter-

parts and also be clockwise. In the northern Australian Early to Middle Proterozoic inliers (Fig. l), however, the low-P facies metamorphism is prograde and “compressive” ( + A P, + AT), and succeeded by a phase of cooling. Cooling was isobaric to slightly decompressive, as in the Mary Kathleen Fold Belt in the Mount Isa Inlier (Reinhardt and Hamilton, in prep.), the Arunta Inlier (Warren, 19X3), and the Broken Hill Block (Philips and Wall, 1981; Hobbs et al., 1984) or compressive at first, as in the Olary Block/Willyama Province (Clarke et al., 1987). The resulting P-T-t paths are anti-clock-

193

tic constraints, elled

the same

numerically,

finite-difference

code (details

2, 3 and 4). The thermal

there

are

magmatism,

low-P

thickening:

therms

immediately

600

Fig.

2. P-T

diagram

showing

geotherms,

transecting

the

radioactive

heat production

three

kyanite

before

All

(A) dist~bution

100 km;

of 3 W K-t

D,,,V, i =lO

m-‘.

Curve

between

18 and 22 km depth

tion

3 additionally

of 4.1 pW/m3.

stability “A”,

and retrograde tories

“B”

which

characterize

“Alpine-type”

and

“c”

are

Reinhardt

the

reaction

(retrograde)

history

Proterozoic

is common

history.

Trajec-

P-T-Z

paths,

of the northern

Clarke

et al., 1987):

+ sillimanite

(prograde)

also elsewhere

(e.g., Gemuts,

1971, for the Halls Creek Mobile Belt). The cooling these anti-clockwise

P-T-t

sive, isobaric

wise (Fig. 2). Similar

repre-

fold betts (respectively

in prep.;

paths

can be slightly

+

segment

of

decompres-

or slightly compressive.

anti-clockwise

the thickening

extension,

event,

magmatic

delamination,

ac-

and

(2)

discarded.

is reliable, The

the former

results

may

to Mid-Proterozoic

mechanism

can be

be applicable

to all

fold belts

Australia, and to prograde, terranes in general.

low-P

of northern metamorphic

Tectonic m~hanisms metamo~hism

that lead to low-P facies

trajectory

metamorphism

metamorphic

andalusite

respective

P-T-t

facies

the anti-clockwise

and Hamilton, series

and

of iso-

granite

heat produc-

metamorphism,

the metamorphic

Early to Middle

after

kyanite

(1971). high-P

moderate-T/moderate-P

sents a clockwise,

Australian

Holdaway

of km;

Ao,curvr 3 = 2

a 4 km thick

tripiepoint

by prograde

s =15

elevation

thickening accompanied by convective of the mantle lithosphere. These two

database Early

length

km, D,,,,,

with a radioactive

The AlzSiG,

fields are after

characterized

reflects

a

by A =

heat distribution),

Ao,curve z = 2 pW/m3,

pW/m3.

have

defined

and a lithospheric

km, D,,,.,,, a =15

A O.cuwe 1 = 2.5 pW/m”.

conductive three

crust-mantle

may during

models are compared with the existing geological database of the Mount Isa Inlier. Assuming this

1°C)

steady-state

Aae- x/D ( D = the length scale for radiogenic a conductivity

crustal thinning

800

field.

or

which

facies metamo~hism

due to, e.g., lithosphetic tivity,

In general,

mechanisms

(1) extreme

de-

as well as some

are simulated.

possible

crustal

effects of lithocrust-mantle

thickening,

thereof, two

yield regional,

Temperature

of which are in Ap-

thinning,

and crustal

will be mod-

one-dimensional,

spheric

combinations

.----+

a

pendices tachment

400

scenarios

using

P-T-t

To explain the anomalously low P/T ratios and the subsequent isobaric cooling, one first needs to investigate three obviously possible mechanisms (Fig. 3B, C, D): (l)syn- to slightly pre-metamorphic lithospheric extension (McKenzie, 1978: Wickham

and

Oxburgh,

magmatic

events

(Wells,

1985, 19X7), (2) various 1980; Bohlen,

(3) crust-mantle detachment welling of hot asthenospheric

1987), and

coupled with the upmaterial to the base

of the crust (Bird, 1978, 1979; Bird and Baumgardner. 1981; Houseman et al., 1981; Lister et al., in press). As the prograde metamorphism is conpaths

were suggested by Bohlen (1987) for Precambrian granulite terranes as, e.g., those in the Adirondacks (N.Y., U.S.A.), Bamble (Norway), Namaqualand (South Africa), Southern India and West Uusimaa (Finland). In this paper, I will first explore, in a qualitative way, the main tectono-thermal scenarios to which low-P facies metamorphism has been attributed. Then, in order to obtain physically realis-

temporaneous it is necessary

with a phase of crustal thickening, to discuss as a fourth possibility the

thermal effects of crustal thickening accompanied by an anomalously high basal heat flow. Such high basal heat flow may be caused by convective thinning of the mantle lithosphere (Fig. 3E. F), as advocated by Houseman et al. (1981). A mechanism not pursued here, is the late-stage extension of a (thermally partially equilibrated) thickened crust (England, 1982; Houseman and

194

t1 PRF,-M?STAMORPHIC

to

1250

0 0

A

F

Temperature

Fig. 3. The various correspond

tectonic

respectively

pre-metamorphic conductive

(f,),

geotherm

models

E and within

similar

to that of an extremely a thinned

in the upper replaced

crust

series

F are syn-metamorphic

C. The geotherm

and within

experiment

an undeformed

lithosphere.

thrusting

tested in this paper (B-F),

to numerical

mantle granite,

(“C)

within

thinned mantle

lithosphere

lithosphere.

and homogeneous

by hot asthenospheric

material

lb,

(tz).

lc,

lithosphere.

M-Moho; crust,

2b (also

that,

which

(the Houseman

within

an abruptly

homogeneous.

Models

1). The situations

A-asthenosphere.

within

is underlain

within

or entirely

Table

L-lithosphere;

D. The geotherm

E. The geotherm below

2a and

at t = 0. B. The geotherm

an undisturbed

mantle

which all add heat to the upper lithosphere.

la,

an undisturbed which

thickened

material.

is intruded crust,

The complete

D are

A. The steady-state

crust and abruptly

by asthenospheric a crust

B, C, D, E and F B, C and

is

by a “recumbent”

with either

mantle

thinned

This situation thickening

lithosphere

et al., 1981, model). F. As E, but with a mid-crustal

granite.

by

has been

195

England,

1986; Platt,

fold belts of northern metamorphism (Hobbs

1986)

Australia

is coeval

+

as in the Proterozoic the low-P

with

crustal

et al., 1984; Etheridge

C

B

Ten

D

F

E

facies

shortening

et al., 1987; Loos-

veld, 1989). Metamorphism

due to lithospheric

Steep metamorphic areas,

are attributed

ing (McKenzie, Le Pichon

gradients, by many

1978; Le Pichon

et al., 1982;

1985, 1987). Uniform

extension which affect large

to continental

rift-

and Sibuet,

1981;

Wickham

stretching

and

Oxburgh,

of the lithosphere

extension) can lead to astheno(“ pure-shear” spheric diapirism (or vice versa), and hence to partial melting of the lower crust, the emplacement of granodiorites in the middle crust and to

L: Lithosphere A: Asthenosphen crust-mantle kunday a1 35 km stippled area npresents anam of heat added to lithosphere and topmost asthenosphen Fig.

4.

Various

mantle geotherm

and the geotherm

line) represents and topmost

peratures

geotherm

of modern

rift zones (Bridwell

Heat

flow studies

and Potzick,

1981;

Lachenbruch, 1979; Lachenbruch and Sass, 1977; Mohr, 1982; Morgan, 1982) agree well with this model. In contrast to the classical model of symmetrical and uniform stretching of the lithosphere (the pure-shear model), the recognition of major asymmetrical detachment fault/ shear zones in the Basin

and

Range

province

(Davis

et al., 1980;

results

is linear.

neous

shear

Kenzie-model. pure

shear

pure

thinning

A-asthenosphere.

mantle

lithosphere

horizon,

with

of the mantle

the proposal of asymmetric continental extension models, the “ simple shear” models (Wernicke, 1985; Lister et al., 1986, in press). These explain

dipping,

in the mid-crust Complete delamination

excision

(Voorhoeve

and replacement

asthenospheric

material

(Lister

and

et al.-

instantaneous et al.of the

here

dipping,

at the base 1988).

horizon.

detachment of the crust

E. Instantaneous

lithosphere

by means

with the detachment

and Houseman-model,

of the mantle

(Mc-

(Lister

of the mantle

detachment

lithosphere

and instantaneous

lithosphere

Houseman-model,

simple shear thinning

in

and instanta-

simple shear thinning

of a planar,

the detachment

The

are given

lithosphere

of the mantle by means

and

A-F

of the complete

C. 300% homogeneous

thinning

within

conductive

A. 100% homogeneous

thinning

(hold

to the lithosphere

heat production

of modes

model, in press). D. Instantaneous

planar,

cay process with a time constant of approximately 60 Ma (McKenzie, 1978; Jarvis and McKenzie, 1980; Voorhoeve and Houseman, 1986) if heat is transferred by one-dimensional conduction only. Relaxation is faster if advection of fluids and/or lateral heat flow play a role. England and Thomp-

Radioactive

1978). B. 100% homogeneous

in press). shear

the steady-state

after extension

of heat added

modelling

Fig. 6A-F.

model,

are shown

area between

L-lithosphere;

respectively pure

The crust-

is left out here, so the steady-state

of the thermal

(Voorhoeve

Both models of extension, however, have their limitations. Thermal relaxation of an instantaneously thinned lithosphere is an exponential de-

asthenosphere.

extension. boundaries

immediately

the amount

the lithosphere

Wernicke, 1981; Wernicke and Burchfiel, 1982; Lister et ai., 1986; Lister and Davis, 1989) led to

the geographic offset between areas of active (supra-)crustal extension and areas affected by the highest geothermal gradients, thus providing an explanation for the absence of extensional structures in rocks characterized by low-P facies assemblages.

of instantaneous

for all modes. The cross-hatched

the generation of a condensed series of isograds. McKenzie (1978) quantified the relaxation of temafter such extension.

modes

and lithosphere-asthenosphere

lithosphere,

of the mantle

of a here

1988). F.

i.e. crust-mantle lithosphere

(Lister et al.-model.

by hot

in prep.).

son (1984) therefore, concluded that the thermal profiles of passive continental margins, compressed 60 Ma after their formation, would not differ noticeably from those resulting from compression of steady-state geotherms. For extension by means of a simple detachment zone, the lithospheric heat input is approximately a factor two smaller than for the pure-shear McKenzie model (Fig. 4 and Voorhoeve and Houseman, 1988); thus, the thermal perturbation is also smaller. In the Mount Isa Inlier, this poses a formidable problem, because, although the geochronological dates on the three extensional events and on the

196

prograde

metamorphic

no extensional the

event are widely bracketed,

structures

> 100 Ma

metamorphism.

time

have been recognized

interval

A direct

prior

for

to prograde

link between

the exten-

sional events and the prograde low-P facies metamorphism is therefore questionable and one might be tempted

to not

here. In general, extension

this line

might

character

of research

if the time gap between

and metamorphism

Ma, extension facies

pursue

however,

is narrower

not only explain

of the metamorphism

not necessarily

andalusite-sillimanite

also subsequent

isobaric

than 60

but

crustal rift can be affected by (1) lateral heat flow, aided by the generation of small-scale convection cells in the asthenosphere under a rift margin due to the steep horizontal temperature gradients (Buck, 1986) and (2) the thinning of the mantle lithosphere under the undisturbed crust, either by pure shear as in the asymmetric extension model of Lister et al. (1986, in press), or by simple shear as in the asymmetric extensional models of Wernicke (1985) and Voorhoeve and Houseman (1988). Most asymmetric extension models predict a horizontal offset between that part of the lithosphere, which is most attenuated, and that part of the upper crust, in which rift structures are developed: anomalously steep geothermal gradients, due develop

crust),

will

upper plate”

crust (the hanging wall, i.e. the “upper of Lister et al., 1986). This upper plate

situation is simulated heat flow complication. Heating

in a relatively

( * lower

here,

omitting

undisturbed

the lateral

by intrusion of magmas

Crustal thickening by magmatic accretion will result in very high relative temperatures in all levels of the crust (Wells, 1980) and, temporarily, very steep geothermal gradients above the intrusion (100-500 o C/kbar, Bohlen, 1987). Rocks above the intruded material will heat isobarically, and subsequently, during the thermal relaxation,

differentiated

granites

and cooling,

continue

role in the thermal

because

they

heat-producing anomalously

elements high heat

metamorphic

granites

may

be

balance

enriched

in

(HPE). In this study, the production in the pre-

of the Mount

Isa Inlier

will

be calculated. Wyborn entiation.

oped locally. The thermal evolution of tectonically undisturbed crustal areas adjacent to a late supra-

lithosphere

area,

(although facies),

Highly

to play an important of an

the Mount

cooling.

of the mantle

isobarically.

can, even after emplacement

the low-P

A possible scenario could be that late-tectonic, and as yet unrecognized, asymmetric rifts devel-

to the thinning

cool

et al. (1988) argue that the granites Isa Inlier result from a two-step As magmatic

equilibration

of a highly

events

represent

perturbed

of

differthe re-

thermal

(or

pressure) gradient, these granites must be the result of two successive thermal perturbations. Discussing the first thermal perturbation, Wyborn et al. (1988) mention the possibility of both extensional and compressional events, which can lead to mantle melting, and, mainly because primary magmas from the mantle are denser at crustal depths than crustal material (Herzberg et al., 1983) to underplating at the base of the crust. These underplates the major, Inlier. Crust-mantle

could I-type

subsequently be the source of batholiths of the Mount Isa

detachment

In most cases of underplating, exchange of cold, dense lithosphere by hot, less dense asthenosphere, plays a role (Wyborn et al., 1988). Such substitution can be explained in four ways: (1) by conductive thinning of the mantle lithosphere, due to a heat flow perturbation (thermal “plume”); (2) by “delamination”, i.e. the vertical separation of crust and upper mantle by the bending of a coherent slab of dense mantle lithosphere, whose tip sinks into the less dense and hotter asthenosphere (Bird, 1978, 1979; Bird and Baumgardner, 1981); (3) by convective thinning of the mantle lithosphere during crustal thickening (Houseman et al., 1981); (4) by juxtaposition of hot asthenospheric material in the footwall of a major throughgoing (extensional) detachment zone, and cooler lithospheric or crustal material in its hanging wall. Crust-mantle delamination (2) and convective thinning (3) are driven by the gravitationally unstable layering of relatively dense mantle lithosphere over less dense asthenosphere. Independent

197

of the mode

of substitution

of the mantle

sphere by the asthenosphere, anomalously Etheridge

high

crust-mantle

Proterozoic Inlier, event

Orogeny

fold belts of northern

however,

differs than

from

the

tion has been simulated sional and compressional

that extenexplains to Middle The

Mount

1860

Ma

Isa old

Of the six factors Mount

Isa Inlier.

lead

AT = 0). The subsequent erosion.

Possible

substitu-

thermal

relaxation

extenfacies

conditions and subsequent isobaric cooling, they cannot explain the synchroneity of the prograde low-P facies metamorphism and a pervasive phase of crustal thickening (+ A P, + AT). One is forced to re-examine the effects of thickening on the profile. Brady (1982) heat transfer in an oro-

genie setting, and summarized the factors leading to lower than normal P/T ratios, and possibly to in such an environment:

(1) synmetamorphic regional (2) a very strongly insulating (3) transport of hot rocks to tectonic movements or by rapid

post-tectonic

(4) a mantle heat flux triple the normal (5) a very thick radioactive crust;

value;

(6) a volatile flux equivalent to one rock volume of fluid per 5000 yrs. Additionally, Reitan (1968a, 1968b, 1969) Graham and England (1976) Molnar et al. (1983) and Werner (1985) considered frictional heating in tectonically active areas, such as subduction and overthrust terranes. Frictional heat can condense isotherms locally (and even lead to locally inverted metamorphic geotherms), but cannot lead to a widespread, significant temperature increase. Furthermore, there are no indications that frictional heat played a more prominent role in the

metamorphism. compression,

heating-up

by isostatic melting

Ineither

more heating

uplift

(+ A P,

phase will be and

consequent

in the lower crust by this

is therefore

(Miyashiro,

normally

1973;

Richardson, 1977). Clockwise P-T-t trajectories result. to factor

late-

England

to and

(Alpino-type)

2 (the unusually

insulat-

ing sediment pile), Jaupart and Provost (1985) considered conduction of heat across the Main Central Thrust of the Himalayas. They concluded that the location of young leucogranites at the top of the basement sheet can be explained by the heterogeneous vertical thermal conductivity distribution, i.e. a low conductivity in the upper sediments versus a high conductivity in the crystalline basement. There is no evidence, ever, that a similarly lain the Proterozoic during

insulating sequence inliers of northern

lower how-

has overAustralia

the metamorphism.

Factor

plutonism; sediment pile; shallow levels by erosion;

facies

or with slightly

metamor-

there

1, 2, 3 and 4 in the out in the introduc-

stead, it will lead to progressive adiabatically,

in orogens

paths.

as such will not generally

low-P

With respect

evolving temperature-depth modelled one-dimensional

As pointed

facies

with some of the extenmodels.

for factors

thickening

to coeval

than

P-T-t

listed by Brady (1982)

is no direct evidence tion, crustal

terranes

by clockwise

lithosphere

It is argued in this paper that, although sion and magmatism can result in low-P

stability

Proterozoic

accompanied

Crustal thickening

andalusite

Australian characterized

is at least

tectonism

mantle

crust.

Australia.

in the

the low-P

In this paper,

the

in the 1860 Ma

in the Early

in that the extensional

litholeads to

delamination

Ma old metamorphism

100 Ma older phism.

in

facies metamorphism

old Barramundi 1550

temperatures

et al. (1987) have suggested

sion-triggered the low-P

it invariably

3 (rapid

upward

transport)

only plays a

role if the upward transport is faster than thermal relaxation. As mentioned (Loosveld, 1989) folds in the

Mount

Isa

isoclinal

and

upright

Inlier and

are generally the lower

tight

P/T

to

ratios

might be expected in the major antiforms. Even though andalusite-sillimanite blastesis is synchronous with this folding event, such a structurallycontrolled P/T ratio distribution is not documented and thermal relaxation must be faster than deformation. Indeed, for upright folding with reasonable strains and strain rates, this must be generally the case: thermal relaxation of a lateral perturbation of periodicity L,, with L, the halfwavelength of a fold, has a time constant of Lf/?r2~ (with K the thermal diffusivity), so that, e.g., for L = 10 km and K = 10ph m*/s, the thermal time constant is only = 0.3 Ma. Widespread uplift

by erosion

and/or

tectonic

denudation

do

198

not

have

facies

to be considered

metamorphism

either

as the low-P

is synchronous

to crustal

thickening,

and the post-compressional

segment

the P-T-t

path is essentially

(Reinhardt

isobaric

of

by Oliver et al. (1987) and Oliver and Wall (1987). In this

study,

crustal

single-pass

(factor

4)

in rocks

1.6 Ga ago was 20 to 40% higher

it is now

Etheridge

C,“/C,”

1975; Davies, Channelized tion phism,

1980; Turcotte mantle

for local,

than

= 104; McKenzie

and

Weiss,

and Schubert,

1982).

heat flow can be an explana-

prograde

but a constantly

low-P

facies

elevated

basal

experiments

metamorheat

flow

simulating

will, in simplified

fluid

flow and

(the role of convection,

and Hamilton, in prep.). The rate of mantle heat production (assuming

numerical

thickening

below

3-6

form, include

its advection

i.e. multi-pass

of heat fluid flow,

km is still contentious;

et al., 1984, versus Wood

e.g.,

and Walther,

1986). I will also evaluate convergence

a special case of continental

or thickening,

which combines

ening of the crust with (convective) subcrustal

lithosphere.

This

thick-

thinning

of the

case was argued

for

will not affect the sense of rotation of the P-T-f path (clockwise versus anti-clockwise). Disregarding factors 1, 2, 3 and 4 leaves radio-

by Houseman et al. (1981) for a lower lithosphere and asthenosphere with the same constant viscos-

active selfheating

stratified, viscous Newtonian authors reason that as the

and heat transfer

by fluid advec-

tion processes as the most important factors. England and Thompson’s (1984) and Davy and Gillet’s (1986) studies on the thermal balance erogenic zones are in this regard the most

of de-

tailed. England and Thompson’s (1984) experiments quantitatively incorporated radioactive selfheating after an instantaneous crustal/lithospheric thickening event, and qualitatively discussed fluid also omitted

ity, and by Fleitout

dense

and Froidevaux

lithospheric

mantle

(1982) for a

lithosphere. These relatively cool and thickens,

it

is

sub-

merged into the underlying, hot and less dense asthenosphere. Thus, its gravitational instability is increased, overlying

and it may (partially) detach from the crust (and uppermost mantle litho-

advection. Davy and Gillet (1986) fluid flow from the numerical code,

but introduced multiple time-dependent thrusting events. Both models can explain low-P facies decompressive metamorphism (- AP, k AT) by the combination of slow uplift and an increased radiogenie heat supply in the thickened crust. Instantaneous thickening of a crust with a normal geothermal gradient is unlikely, though, to result in prograde andalusite-sillimanite blastesis during crustal thickening. P-T-t paths from the numerical experiments are invariably Mount Isa Inlier, nevertheless, limanite blastesis is prograde

clockwise. In the andalusite and siland compressive

(Reinhardt and Hamilton, in prep.; Loosveld, 1989) and is followed by essentially isobaric cooling (Reinhardt and Hamilton, in prep.): the P-T-t paths are anti-clockwise. Deformation, however, can increase permeabilities and fluid flow can become an additional mechanism of heat transfer (Fyfe et al., 1978; Etheridge et al., 1983, 1984; Ferry, 1984; Bickle and McKenzie, 1987). In the central Mount Isa Inlier. large-scale fluid flow has been documented

1

2

Fig. 5. Five schematic accompanied

by progressive

lithosphere.

overlying

crustal

thickening

lithosphere

hot

continues,

and

more

the downgoing is detached

2)

later

convection

less dense

lithospheric

of

of the

cold and dense

litho-

belt is submerged

into

asthenosphere. material

litho-

At the onset at the base

as the relatively mountain

of the mantle

conductive

As thickening

is swept

sideways

from the crust (stage 4). If convection

the remaining

Houseman

thinning

a meta-stable

thickening

into

plume (stage 3), until the entire (?) lithosphere

material

continuous these

(stage

5

crustal

asthenosphere.

root of the incipient

relatively

spheric

convective

convecting

is enforced

4

of progressive

Stage 1 represents

sphere

spheric

3

stages

continues stages

of crustal

and extremely stages

under

of astheno-

the base of the crust during thickening

(stage

5). then

a

high basal heat flow will accompany

of crustal

thickening.

et al. (1981). Vertical

After

scale greatly

a model exaggerated.

by

199

sphere)

to sink

into

the asthenosphere

(Fig.

5).

Houseman

et al. (1981)

argued

in favour

of the

detachment

of the entire

mantle

lithosphere

from

the crust,

exposing

the lower

spheric

temperatures.

similar

to the crust-mantle

as proposed to be resolved: combination ening grade

advection

selfheating lithosphere

andalusite-sillimanite

tially isobaric

in a thicklead

blastesis?

to proAnd

sec-

conditions is the prograde stage succeeded by essen-

cooling,

all anti-clockwise

have does a

of heat by fluid flow, and

of the mantle

ond, under what andalusite-sillimanite

Bird and

questions

what conditions

of radiogenic

crust,

thinning

first, under

is

process

1979) and

(1981). The following

thus giving rise to an over-

P-T-t

gated.

only

a few of these need

As thermal

the entire

generally

melting

to be investi-

after

thickening

leads

pressional

geotherm,

combination carded Id,

le

sphere

those and/or

and

lf),

of this

here. Also dis-

combinations

with upwelling

magmatism

are envisaged

active

to

to syn-com-

the possibility

asthenosphere since

upwelling

tectonically

and

(No. 2c) is discarded

are

magmatism

of

to late-

in the lower crust, such melt-

ing will have no effect on the early-

setting.

isolated

and

(Nos.

astheno-

to take place in a

Here, only the thermal

effect of asthenosphere upwelling is considered, regardless of the mechanics of replacement of cold lithosphere

by

3-20 (Table

1) combine

mental

path?

relaxation

lithosphere

post-tectonic

to astheno-

this situation

delamination

by Bird (1978,

Baumgardner

crust

Thermally,

straints,

series

hot 1 and

asthenosphere.

Possibilities

the components 2, and

of experi-

are more

complex,

Results of the numerical experiments

involving more assumptions and free parameters. Because of the complexity, and in order to evaluate

In all reported cases of low-P phism in the northern Australian

isolated rather than randomly combined processes, possibilities 3-20 are also left out. This leaves an early extension with or without asthenosphere up-

facies metamorProterozoic fold

belts, the prograde metamorphism is coeval with a period of crustal thickening. Hence, the thermal

welling

and/or

magmatism,

followed

by compres-

to the

sion (Nos. la, lb and lc), and compression combined with asthenosphere upwelling, with or

anomalously high temperatures must have been interacting with the overall stretching of the geo-

without magmatism (Nos. 2a and 2b). These five possibilities are depicted in Fig. 3B-F.

therm caused by crustal thickening. Combining the various pre- to syn-metamorphic modes of crustal heating with syn-metamorphic crustal thickening will therefore be essential. Table 1 lists the possible combinations. Due to geological con-

The first group of numerical experiments deals with two events, an early crustal extension with optional asthenosphere upwelling and magmatism, followed by a phase of compression (Table 1: series 1). The second group is concerned with one

effects

of any

TABLE

1

Possible

combinations

mechanism

that

has

led

of events, which lead to low-P

facies metamorphism

Exp. series

Pre-metamorphic

Syn-metamorphic

Fig.

la:

extension

(pure shear)

(compression)

3B

la:

extension

(simple shear)

(compression)

lb*

ext. + asthenosphere

Icompression)

3c

lC*

ext. + magmatism

(compression0

3D

Id

magmatism

(compression)

upwelling

le

asthenosphere

If

magm. + asthenosphere

upwelling

(compression) upwelling

(compression)

2a*

asthenosphere

upwelling

2b*

_

asthenosphere

upw. + magm. + compression

2c

_

magmatism

3-20 Combinations (explanation

variations marked in text).

by an asterisk

are considered

possible

+ compression

3E 3F

+ compression of 1 and 2 series

for the Australian

Proterozoic

fold belts

and

are modelled

here

200

B rooo horn. thinning of entire lithosphere

100% extension of mantle lithosphere

E B8(@ G

44kmm::

-

6OOf, F t

1okm..

200 y

6km..

0

0

,‘,‘.‘*“‘.“‘.‘. 10

20

o

2km

30

40

so

60

70

+

80

.+

90

.,.,.,.~.,.~.~.~.~*~

10

0

100

20

30

40

50

60

70

+

time[Mal

I

300% extension of mantle lithosphere

80

90

100

timeIMa1

detachment at 40 km

44km:: 36km PEl 22km 18 km:: 14 km lOkIn” 6km..

, zkmt 0

0 .‘.‘.‘.I. 10

20

30

40

50

60

70

+

80

90

"0

100

10

20

30

40

50

60

70

+

time[Mal

80

90

F

I

L

detachment at 20 km

EL200

0 .‘.‘.I. 10

20

30

40

50

60

70

---+

Fig. 6. Temperature-time undisturbed.

7;=, = 1350 o C. Experiment mm’; K = 1.2. 10e6

km with

thinned

A,, = 4.1 pW/m3

parameters: m2/s;

experiments,

I

.

10

to Voorhoeve

pre-thinning

A, = 2.5 pW/m3;

is also reflected

lithospheric

I

.

20

,

.

30

I

I

40

50

lines represent

.

I

I

60

70

and Houseman,

respectively

the 10, 18, and 26 km level, using Holdaway’s

heat

extension

thickness distribution.

F, the crust

crustal

4 km thick granitic of heat

100

remains

has excised

thickness

slab between

in the crust

the temperature

domains

90

the

33 km thick; at the base of the

is 700 km; pre-thinning Transfer

.

is 100 km, the dip of the

1988). In E, the detachment

In F the crust is effectively

I

80

time[Mal

in Fig. 4. In B, C, D and

D = 10 km. A pre-thinning,

in the radiogenic

only. The three horizontal

The depth/time

depicted

overlies the upper mantle.

conduction

of 2700 kg/m3.

0

100

by a factor 2. For D and E, the horizontal

is 12” and the throw is 21 km (comparable

K = 3W K-’

I

+

for the six “extensional”

plots

lower crust, such that the upper crust directly crust,

90

complete excision of mantle lithosphere

time[Ma]

In A, the crust is homogeneously

detachment

80

R

ot

zkm

0

100

time [Ma]

after

is 35 km; 18 and 22 r = 0 is by

levels at which either andalusite or sillimanite becomes stable at and assuming an upper crustal density (1971) Al,SiO, reaction conditions,

in which either andalusite

or sillimanite

is stable are dotted.

201

tectonic

event, i.e. Houseman

consisting coeval

of crustal

thickening

asthenosphere

magmatism

(series 2). In all experiments, conservation

solved

a simple,

finite

difference,

(details

and

of energy

BASIC

in appendices

are typical margins

are unlikely

to be found

the one-

An abrupt

is

iterative,

code on a MacintoshTM

extension

series 1: lithospheric

superposed

mal steady-state

Whether

andalusite/

during

dates

an extensional

variables location

event,

event,

are

which post-

will depend

on slightly

conductive relaxation

on such

as the amount and style of extension, the within the extensional setting, the time

interval between extension and compression, and the ratio of the compressional strain rate to the thermal relaxation rate. Additional heat sources may result from crust-mantle delamination or magmatic intrusion. The abrupt change of the extension is degeotherm by “instantaneous”

upper

The thinning is absent tion

when

by a factor of 2 steeper-than-nor-

geothermal

gradients,

conditions

(cooling),

however,

of the HPE-enriched

upper

crust

simulating

plate

situa-

of asymmetric

the upper

extensional

models,

(3) thinning of the lithosphere by movement along a planar, dipping detachment horizon (Voorhoeve and Houseman, 1988). Loosveld and Etheridge (in prep.) argue that andalusite-sillimanite conditions will generally only result from lithospheric extension (without magmatism and/or delamination) if extension factors equal or exceed 3. Such large extension

a

other hand, the heat input to the lithosphere (represented by the shaded area in Fig. 4) is, at the same amount of crustal extension, smaller in the asymmetric extensional models than in the symmetric

“pure

shear” and

lithospheric

Houseman,

thinning

tions. If thermal relaxation is attributed duction alone, even an “instantaneous”,

(1) homogeneous “pure shear” thinning of the entire lithosphere after McKenzie (1978); (2) homogeneous “pure shear” thinning of the mantle lithosphere while not deforming the crust (the “ upper plate” of Lister et al.‘s models, in press);

where

thinned mantle lithosphere underlies an undisturbed crust (Figs. 4B, C, D), or where the mantle lithosphere is completely excised (Fig. 4F). On the

respectively. The steady-state conductive in the experiments of Fig. 6 is relatively

Extension alone: experiment series la Three modes of-instantaneous-lithospheric extension were simulated:

will of the

crust by a factor 2.

(Voorhoeve

it includes a cooled, 4 km thick, HPE-enriched granitic slab between the 18 and 22 km levels (representing conditions of the Mount Isa Inlier).

(Fig.

thinning

picted in simplified form in Figs. 4A-F. Figures 6A-F give the thermal relaxation on ten depth levels associated with the situations in Figs. 4A-F geotherm “hot”, as

rifts.

plane strain “ pure shear”

be fast, aided by the concomitant

thinning

sillimanite-conditions

a compressional

et al., 1982), but

in intra-continental

result in sillimanite

HPE-enriched stable

parts of passive

of the entire lithosphere

(@ = 2)

will generally

2 and 3).

(Le Pichon

homogeneous,

6A). Thermal Experiment

for the outward

continental

with

equation

one-dimensional,

factors

optional

combined

upwelling

dimensional with

et al.‘s (1981) model,

adding these competing still effectively buffers

1988;

Fig.

models 4). On

effects, the lower crust basal heat flow fluctuato con300%

pure-shear extension of the mantle lithosphere, immediately followed by conductive cooling, will not always lead to sillimanite grades in the middle crust (Fig. 6C). Simple shear experiments (experiment series la,) yield results even further removed

from sillimanite

cept for those situations zone 6E).

happens

to transect

conditions

(Fig. 6D), ex-

in which the detachment the middle

crust

(Fig.

Whether or not andalusite-sillimanite conditions are reached will strongly depend on the steepness of the pre-extension, steady-state geotherm, and on the mode of extension, but, independent of these factors, these conditions will not be stable for more than 10 to 15 Ma. (Figs. 6A, E, and F.) As extension will not be instantaneous, T/P ratios will in fact be lower than those of Fig. 6. In all modes of extension, thermal relaxation is fast; after 50 Ma, temperatures in the middle crust are only slightly higher than the original steadystate ones. Additional heat transfer mechanisms,

202

other than conduction, thermal

would result in even faster

within

the mantle

laxation

relaxation.

paths

lithosphere

Under mantle

+ delamination: an “upper-plate”

lithosphere

pletely

can

experiinent series lb passive margin, the

be

attenuated

or com-

excised (Lister et al., 1986, in press). In the

latter

case, hot asthenospheric

material

the lower crust (Fig. 4F). This situation lated

by making

the pure

shear

is simu-

extension

factor

“freezing”

of the asthenospheric

“hot

mantle

mode”

and

delamination

1981). The “hot

of Bird

mode”

and

“cotd mode” delamination

t

e.skm-. Ybn-. 4skmm-. 39km_. 33 km 27km

i------_ ~21km

Pkm-. 3km-.

0 0

10

20

30

40 +

B

50

time [Ma]

I

first 1 Ma

in the “cold mode”

boundary

is shifted back to lithosphere

im-

delamination and in the crust by conduction only, the

heat transfer

andalusite-sillimanite

field may, depending

on the

steady-state conductive geotherm, conductivity and the thickness of the crust above the detach-

in the experiment depicted in Fig. 6F, in which the mantle lithosphere (including the 36 km depth level) is detached, sillimanite conditions were reached at the 26 km level between 2 and 12 Ma

lmo , Tcmp

here by keep-

ment horizon, be reached at the deeper crustal levels (compare Fig. 6F with 7A, and Bird, 1979);

15 km” -

crust-

Baumgardner,

is simulated

the base of the pre-extension mediately after delamination. Considering “cold mode”

Temp

(respec-

mode”

at the base of the crust con-

the lower temperature

[Cl loo0

material

the “cold

stant for a given time, whereas

1500

material both with

ongoing convection in the anomalously shallow asthenospheric material, and with immediate

ing the temperature

A

delamina-

of asthenospheric

to the base of the crust were calculated

tively

underlies

large. Re-

after such crust-mantle

tion with the upwelling Extension

infinitely

“hot mode”

after the instantaneous delamination. The experiment depicted in Fig. 7A, on the other hand, in

(Cl NJ0 4skm 39km 33km 27 km

t 500

Fig. 7. Temperature-time periments.

T = 281-281eeX”’

3km

0

0

10

20

30

40 -time

The initial

50

T=1350°C km. T,,,

[Ma]

m2/s;

+7.13x,

(in A) and 1300°C

stable

km level. The dotted domain heat

t

blastesis.

in the crust

after

crust-mantle

crust. 20

30

40 --+

time

[Ma]

50

upwelled

at respectively or sillimanite No

crust-mantle

crossor

the 9, 15, 21 and 27 the time/depth

is stable. Transfer

of

only. A. Cold

andalusite/sillimanite

delamination

for 1 Ma,

at the base of the crust is kept at 1300 o C rigorous

asthenospheric

convection

material

C. Hot mode crust-mantle

the temperature

is:

rc=10V6

either sillimanite

t = 0 is by conduction

for 1 Ma, thus simulating newly

at which

delamination.

B. Hot mode

i.e. the temperature

K-r;

The four horizontal

fields in B and C represent

in which andahtsite

(Cl 1000

ex-

(in B & C) for 391x<150 K=2Wm-’

the temperatures

becomes

“delamination”

in all three experiments

D = 15 km, A, = 2.5 pW/ms.

andalusite

mode

for three

with x in km, for x I 36 km, and

(at150km)=1350°C;

lines represent

Temp

plots temperature

of heat in the

at the base

delamination

of the

for 20 Ma, i.e.

at the base of the crust is kept at 1350°C 20 Ma.

for

203

which the detachment and in which ductive

geotherm

lima&e

at similar

in the upper

the experiment in the

time-gap actual

steady-state, did not depth

crust

to trigger

levels.

between time

the Mount

12 Ma.

sillimanite This

Isa Inlier,

and

Peak be-

but are growth.

In

is only sta-

implies

the compressional

of andalusite/

sil-

are reached

of Fig. 6F, sillimanite

first

con-

yield

10 and 20 Ma after delamination,

not high enough ble

is at 37.5 km depth,

cooler

was chosen,

conditions

temperatures tween

horizon

a slightly

that

the

felsic magmas elements igneous

slab

slab with a radioactive

an order of magnitude granites

are powerful

Intrusion crust

higher.

of such granites

growth

heating

this “cold

mode”

cooling and

heat production

of the magma cooling

of the country

the other

therms during crustal thickening, it is unlikely that “cold mode” delamination alone can explain the

temperatures. The abundance of pre-metamorphic, riched granites in the Mount Isa Inlier

To obtain time

higher crustal

intervals,

another

and

temperatures heat

source

regional

Australian for longer has

to be

sought, either some form of “hot mode” upwelling of the asthenosphere, or immediate rising of mag-

Proterozoic

1987) justified effects cumbent”

cause

fold belts;

intrusions.

Wyborn

et al.,

of the thermal

Seismic,

masses

high

HPE-en(and other

heat

data have led to the concept batholithic

is

anomaly,

anomalously

a closer examination

of granitic

and gravity

effect

by the HPE-distribution

will permanently

the

and concomitant

brought

synchroneity of crustal thickening low-P facies metamorphism.

or upper

the first one

lamination could not have exceeded 12 Ma. Considering the progressive, vertical stretching of iso-

which

of

heat sources.

in the middle

metamorphism),

about

by an

Such HPE-enriched

effects:

subsequent

rock (contact

that a mid-

is replaced

and permanent

has two thermal

sillimanite

in heat-producing

It is not uncommon

or upper-crustal

transient

de-

(HPE).

is more complex,

enriched

crustal

event, i.e. the in

the heat balance

as they are commonly

flow

of “re-

(Hamilton

and

matic products. Hot mode delamination will lead to the expansion of andalusite-sillimanite conditions to higher crustal levels. In Fig. 7, three experiments with respectively 0, 1 and 20 Ma hot mode delamination are depicted. This figure shows

within these granites (A,,) of 2.5, 5.0 and 7.5 pW/m3. Taking into account the metamorphic grades of the granites in the Mount Isa Inlier, they

that, as expected, hot mode delamination would result in a very powerful heat source at the base of

must have been at mid-crustal levels during metamorphism. I have assumed the top of the granites

the crust.

Myers, 1967). Here, we use 3, 6, 9 and 12 km thick slabs of granite, and average heat productions

at 18 km. Figure presence

of such

8 shows the thermal a differentiated

effect of the granite

in the

Extension •t magmatic events: experiment series lc In many numerical experiments which simulated various modes of extension, the temperature

rock pile. The temperature change (T= ,/T,= decreases linearly with distance to the granite.

in the lower crust exceeded the solidus temperature for some time. After a 300% pure-shear extension of the mantle lithosphere for example, the

plained by transient thermal pulses caused by extensional events, magmatism or cold mode delamination, if these events are synchronous with,

temperature at the 30 km level is briefly raised to a maximum of 660” C (Fig. 6C), so that melting and subsequent advective heat transport may take

or immediately predate, the metamorphism. Lower and mid-crustal rocks will then for a limited time remain anomalously hot: in the case of magmas in

place. Furthermore, pressure-release melting of the mafic upper mantle and subsequent rise of mafic melts may trigger more lower crustal melting. The thermal perturbation of a mafic magma emplaced at a depth of 15 km and with a thickness of 10 km is, however, only short-lived (Wickham and Oxburgh, 1985). With fractionated

extension and/or cold mode delamination a few tens of million years at the most. For the low-P facies metamorphism to be prograde (t AT), the time-gap has to be even narrower. Prograde and compressive low-P metamorphism ( + AT, + A P) cannot be explained by any extensional event.

i)

From experiment series 1, it can be concluded that low-P facies metamorphism can only be ex-

the order of a few million

years, and in the case of

204

T/To

slightly

decreasing

Hamilton, t’“t

by conduction reasonable

1.5-

l

.

1.0

@

3

6

itself,

drastically

increase

duction

12 15 to top of granite [km]

9 ---+distance

parameters

One

transferred

ratios

ratios

during

should,

thickening

conclude

alone (e.g. advection

flow), or that crustal

is for all

slower than the lithospheric

P/T

must

and

relaxation

lithosphere

that

by a more effective

an increased

(Reinhard

Fig. 2). As thermal

of a thickening

thickening decrease.

12km

l

P/T

in prep.;

however, rather

either

process

heat

is

than con-

of a single-pass

thickening

than

is associated

fluid with

basal heat flow.

The effect of single-pass fluid flow The effective fluid flux, W, is normally

deduced

from D’Arcy’s ically inferred

Law, or calculated fluid/rock ratios.

from geochemAs, at present,

there

reliable

on

are

few

estimates

fluid/rock

ratios and original rock permeabilities (in Early to Mid-Proterozoic fold belts), 1 use an alternative d3km

3

6

12 15 to top of granite [km]

9 ~distance

T/To

C

approach. Walther and Orville the amount of post-diagenetic products

during

regional

E*

A~=75

Fig.

m3km



l.OI



8. The long-term

HPE-enriched T,= ,/T,= granite

granite

_, is plotted for various

2.5 pW/m3; Experiment



6

3

(B):

on versus

thicknesses A,

parameters:

tive geotherm

9 +distance

thermal

before

effect

the

.







12 to top of grani:e’[km]

of the intrusion

overlying

country



of a rocks.

the distance

to the top of the

of the granitic

slab. (A): A,, =

= 5.0 pW/m3;

(C):

A,, = 7.5pW/m3.

L = 150 km; the steady-state intrusion

is defined

conduc-

by T,,,, = 1350 o C,

A,=2.5~W/m3,D=15kmandK=2WK-‘mm’.Thetop of the intrusion region

is in each case at 18 km depth.

of the plots represents

temperatures

and is therefore

Experiment

metamorphism

of an

average pelite as being 12 vol.%. Assuming a thickness, h, in meters of pelitic material, and assuming a constant fluid-flow rate during deformation, and disregarding dergoing the transition

1.5

(1982) calculated devolitalization

above

The top left the solidus,

unstable.

series 2: crustal thickening

The first segment of the P-T-t path deduced for the Mount Isa Inlier shows compression with

the fact that rocks unfrom andalusite-bearing

assemblages to sillimanite-bearing assemblages would already have been relatively dry, W, the effective fluid flow (in m/s) above this pelitic layer is approximated as (O.l2h)/(time of deformation in seconds). This method is not only simple to incorporate

in the numerical

code,

but it

also ensures that no unrealistic amount of fluids is being withdrawn from the crust. The effective fluid-flow the wide

rates obtained in this way fall within range of fluid flows calculated with

D’Arcy’s Law (Etheridge et al., 1984). The result of constant fluid-flow rate during deformation is a constant extra heat input on any crustal level above the pelitic layer during deformation. By generously assuming h as 20 km, the final amount of expelled fluid has a column thickness of 2.4 km. In Fig. 9, the effect of the steady expulsion of this amount of fluid during two experiments (curves I and 3), involving constant strain-rate deformation is shown and compared with two identical experiments (curves 2 and 4)

205

sphere,

when the basal

heat flow decreases

again,

the crust

may cool isobarically

or slightly

decom-

pressively

(if end of convection

coincides

with the

end

of crustal

thickening),

end of convection thickening).

is prior

or compressively

(if

to the end of crustal

Thus, an overall

anti-clockwise

P-T-t

path may result. Houseman

2.0 150

350

250

during

of upwards

progressive,

directed

homogeneous

strain

numbers

I and 3 result from experiments

advection

rate.

component

3, W= 2.5.10-‘* ments without 10mh m2/s; thickness

numbers

T,,

D =15

km;

is 35 km;

thickening,

P-T-t

post

s-’

thermal

a fluid

m/s;

for comparison.

K=2W

kg/m3.

in exp.

from experi-

K-’

m-t;

Strain

(duration

only. No decompression

the

crustal

rate,

i, of

of thickening (duration

thermal

instantaneous

formulated

thickening,

the time,

t,, of the peak of kinetic

coincides

with the time of detachment

mal boundary

layer

from

energy,

the upper

rigid

lo-30

Ma. This probably

the order of the time-scale event.

Houseman

experimental

runs

of a crustal

et al. (1981) with

did

progressive

not

include

deformation,

be subjected to asthenospheric temperatures ing the (later) stages of thickening.

that the

(convective)

The only remaining model that can explain compressive and prograde (+ AP, + AT), regional, low-P facies metamorphism is one with directly links crustal thickening with a contemporaneous, anomalously high, basal heat flow, as for example Houseman et al.‘s (1981) model, which combines crustal thickening with convective thinning of the mantle lithosphere (Fig. 5). This model can result in the prograde transection of the

is in

thickening

that the base of the crust may well

The viability of anti-clockwise P-T-t a result of Houseman et al.‘s (1981)

without the fluid flow. One may conclude advection-of-heat effect is only minor.

layer:

log( to) is inversely proportional to f. The time of the peak of kinetic energy, t,, ranged in their experiments between 4 and 88 Ma, with the bulk

of

accompanied

which

of the ther-

but concluded

relaxa-

the

f, and

is

after thickening.

Crustal thickening and associated thinning of the mantle lithosphere

et al.‘s (1981) study

between

of the runs between

a=

fend =1.6;

the initial

3 and 4 was 10m’5.3 s-’

relaxation

a

incorporating

is 30 Ma). At the end of thickening,

tion was by conduction

with shown,

is 150 km: = 2700

flow

paths

A, = 2.5 PW me3;

1 and 2 was 10-‘4.3

fluid

2 and 4 result

=1350°C;

thickness

30 Ma) ( of experiment thickening

four

the fluid flow, and are plotted

lithospheric

experiment

the

(in exp. 1, W= 2.5.10-”

m/s);

In all experiments initial

From

single-pass

crustal

constant

relation

TempKl

+ Fig. 9. The effect

550

450

dur-

paths model

as is

tested here by a few experiments with widely varying parameters. Crustal thickening was approximated as being homogeneous throughout the crust. The finite difference grid was fixed to the medium

and

thus deformed

with thickening

(the

change in timestep-spacing being quadratically proportional to the change in depthstep-spacing). Strain rates were kept constant in each given experiment; value between 10p’4.3 and 10-‘5-3 ss’ were used. The finite amount of thickening was by a factor 1.6 (total time of thickening therefore varies between 3 and 30 Ma). Convective thinning of the mantle lithosphere was simulated by a sudden shift of the lower boundary condition: T= 1250-135O’C is shifted to the base of the (deforming) crust. Thus, a situation is simulated in

andalusite-sillimanite field during crustal thickening, if thickening is slow relative to fast (= early)

which the complete

convective thinning of the upper mantle. Then, the condensing of isotherms in the crust due to increased basal heat flow will compete with the stretching of isotherms, caused by the (progressive) crustal thickening. Hence, the temperature on a certain depth level may rise, and the overall geothermal gradient may steepen. Subsequently, at the end of convection in the upwelled astheno-

from the crust (thermally, this model is identical to crust-mantle delamination). At the end of convection, the lower boundary condition was abruptly shifted back to the base of the pre-deformation lithosphere. Cooling at the end of crustal thickening is purely isobaric if no erosion or tectonic denudation takes place. Those experiments characterized by a relatively fast convective

mantle

lithosphere

is detached

206

thinning,

low

strain

rates

and

long

Geological setting of the Mount Isa Inlier

convection

times at the base of the crust yield anti-clockwise P-T-t

paths (Fig. 10).

A recent

review of the geological

history

Mount Isa Inlier has been presented (1986, 1987). The main tectono-thermal summarized inliers

in Table

unconformably

sequences,

2. Pre-1875 underlie (Glikson

rick, 1982; Ellis and Wyborn, Blake et al., 1985). There oceanic main

Ma basement

two or three cover

which have been interpreted

rift and sag sequences

crust

was formed

rift sequences

have

of the

by Blake events are

as ensialic

et al., 1976; Der1984; Sweet, 1985;

are no indications during been

that

any stage. The deposited

during

Del, the first extensional event, and De3, the third extensional event. D,, has been dated by its felsic

Too

Fig. 10. Seven P-T-t geneous ment

crustal

Strain

thickening

was

thickening, me’

only

after

m2/s;

after

crustal

includes

of 4.1 pW/m3

sent the Proterozoic thickening

is 30 Ma;

s-’

W= 7.6.10m12

( of experiment

m/s);

tion of thickening sive substitution was

boundary

is Ma;

(duration

approximated

tdc,. In experiments

m/s);

of

e of experiments

m/s).

abruptly

Strain

se’ (duration

is 10 Ma;

7 is 10m’4.3 s-’

lithosphere

by

22 km to repre-

Isa Inlier.

of thickening

W= 2.5.10~”

of the mantle

condition

is thought

of the Mount

4.5 and 6 is 10~‘4.“2

is 25 km. The

with a radiogenic

1, 2 and 3 is 10-‘5.3 W = 2.5. lo-l2

or

lithospheric

the 18 and

distribution

situation

(, of experiments

between

kg/m’;

no erosion

(dura-

The progres-

by asthenospheric shifting

the

lower

(T = 1350 o C) to the base of the crust

at

1, 4 and 7, t r - 0 Ma; in experiment

2,

tdc, = 7.5 Ma. in experiment

3 t d ‘-15

tdct = 2.5 Ma; m expenment’

get. tde,= 5 Ma. In all seven at the base of the crust, after the

experiments,

the temperature

substitution was

held

of mantle constant

thickening. shifted

back

Then,

at

lithosphere

Ma; in experiment

by asthenospheric

T= 1350 o C until

the lower boundary

to its original thickening

position,

the end

condition at the base

lithosphere.

mal faults, all affecting the first cover and large amounts of metamorphosed dykes and “A”-

and “Y-type

5,

material, of crustal

was abruptly of the pre-

granites

sequence, dolerite (Passchier.

1986a; Holcombe et al., 1987; Pearson et al., 1987; Loosveld. in press). Its age is estimated at = 1750 Ma, as it affects

K = 2.5

= 2700

thickness

a 4 km thick granite

in

crustal

thickening.

the initial

is 100 km; the initial crustal

material

during

pas,

thickening;

levels. This heat source

rate,

replacematerial.

Heat transfer

advection

of 0 and 1350 o C (T,,,,);

denudation

production

depth

and

K = 1.2.10-6

conditions

stable geotherm heat

homo-

by temporary

in each experiment.

by conduction

K-‘;

boundary thickness

Tew ICI

from progressive,

fend = 1.6; D = 10 km; A,,= 2.5 pW/m’;

Parameters:

tectonic

----+

700

by asthenospheric

by conduction

and

600

accompanied

lithosphere

rates are constant

the crust

W

paths resulting

of the mantle

500

400

300

200

volcanics at 1779 + 9 Ma (Page, 1978. 1983) De3 at 1678 k 1 (Page, 1978). A second, but only locally recognized, extensional event is manifested in the central and eastern parts of the inlier by extensional duplexes, high-angle (to bedding) nor-

the sag sequence

of DC1

(Passchier, 1986a; Loosveld, in press). but does not affect = 1740 Ma old granites in the zone of extensional D,, structures (R.W. Page, pers. commun., 1988). Major I-type granite suites intruded the upper crust at 1860, 1800, 1740-1720, 1670 and 1500 Ma (Page, 1978; Nisbet et al., 1983; Blake, 1987). The first compressional sequences, D,i, was an,

event to affect the cover as yet only

locally

re-

cognized, thrusting event, resulting in imbricate stacks of thrust sheets (Bell, 1983; Loosveld and Schreurs, 1987) fold nappes and bedding-parallel LS-fabrics (Loosveld, 1989). One DC, shear zone in the west of the inlier has been dated, giving an age of 1610 f 13 Ma (Page and Bell, 1986). The subsequent DC2 event was a phase of strong, E-W directed, coaxial shortening, resulting in upright, tight, N-S trending folds, vertical axial-plane foliations, and vertical extension lineations. DC,-shortening is penetrative over the inlier and amounts to 35-55% (thickening the crust by a factor of between 1.5 and 2.2). Page and Bell (1986) dated a

207

TABLE

2

thermal

Main tectonic Time/Period

events of the Mount Phase

Events

(Ma) 187551850

Dee/“co

1780

De,

Barramundi

Orogeny/Kalka-

doon igneous

relaxation

of the extensional

events,

are

thick (in the order of 5 km) and are pre-metamor-

Isa Inlier

phic, there cannot

be a direct

extensional

and

events

link between

the (low-P

facies)

these meta-

morphism.

event (basement)

Major extensional

event

Implications of models for the Mount Isa Inlier

(1st “ rift + sag” sequence) = 1750

De2

Local extensional

1680-1670

D,

Deposition sequence

1610

DC1

1550

DC1 Dc3+

Penetrative

E-W shortening+

reg. metamorphism

Various

contractional

structures Intrusion

= 1500

Lithospheric

voluminous

metamorphic

post-

granites

Dates after Page (1978, 1983) and Page and Bell (1986).

Asymmetric

extension

Following

and

arguments

(Wilson, 1973; Jaques et al., 1986b; Reinhardt and Hamilton,

1982; Passchier, in prep.; Loos-

veld, 1989). Post-D,, deformation and western parts in the inlier

is in the central generally char-

by steep faults and shear zones, trending

extending

for thermal

McKenzie’s

relaxation

(1978)

after a pure-shear

extensional event, the three documented rifting events of the Mount Isa Inlier, of 1780, 1750 and 1680 Ma, are unlikely to be related to the low-P facies metamorphism at 1600-1540 Ma, primarily because events

D,, shear zone at 1544 5 12 Ma. Studies of porphyroblast blastesis generally confirm the synchroneity of D,. and the regional metamorphism

acterized

thinning

in the west

Local (?) thrusting low-P

1510-1450

structures

2nd “ rift + sag”

the

time

gap

between

and metamorphism

the

extensional

is too wide. The same

thermo-mechanical arguments refute the suggested relation (Hobbs et al., 1984) between the regional, prograde, low-P facies metamorphism and ensialic rifting at approximately (R.W.

Page, pers. commun.,

Hill Block, Australia. The fact that crustal many

cases

1988) in the Broken

thinning

an asymmetric

at 1600 Ma 1700 Ma

proves

process,

to be in

resulting

in

030 o N (dextral) and 310 o N to 340 o N (sinistral). Specific parts of the inlier are affected by late N-S shortening, and NNW-trending, upright folds. The latter have been dated at 1510 k 13 Ma (Page and Bell, 1986). A large population of K-Ar dates of 1450-1500 Ma (Richards et al., 1963) is

two different, but complementary plate halves, cannot overcome this problem. The main problem

interpreted the crust

models explain lateral upper crustal extension

offsets between areas of and areas affected by low-

uplift.

P facies metamorphism,

on the scale of the com-

P-T-t data indicate a poly-metamorphic, anti-clockwise path: sillimanite grows usually after andalusite (during DC._,),whereas kyanite replaces sillimanite and cordierite in late retrograde shear

plete inlier (400 X 200 km), normal faulting would have to be developed at least in some areas: even

zones (Reinhardt and Hamilton, in prep.). Similar metamorphic observations have been made in other Australian Early to Middle Proterozoic inliers. especially in the Willyama (Phillips and Wall, 1981; Hobbs et al., 1984; Clarke et al., 1987) Halls Creek (Gemuts, 1971) and Arunta (Warren, 1983) mobile belts (Fig. 1). It is important to realize that, since the sag deposits, resulting from

wall plates

as reflecting and cessation

a widespread cooling of of Ar diffusion during

with any model incorporating lute asymmetrical extension is the general absence of young (post1670 Ma) rift sediments and young extensional structures. Although the asymmetric extension

more so, since transfer faults normally compartmentalize the extensional terrane, so that hanging and

foot

wall

plates

are juxtaposed

along strike (Gibbs, 1984; Bosworth, Etheridge, 1987; Lister et al., in press).

1985;

Magmatic events Magmatism results from a primary perturbation of a depth-temperature profile, and, more importantly here, its effect is only secondary on

208

TABLE

3

Concentration compared

of heat-producing

to the worldwide

elements

average

Worldwide

Wppm)

3

3 8.5

4.2

The percentages production

high Ca

17

K ,O(% under

in the three

2.5

the batholith

can be calculated.

names

Data supplied

largest

pre-metamorphic

batholiths

of the Mount

Isa Inlier,

as

in granites

average

low Ca

Th(ppm)

(HPE)

concentration

represent

Sybella

Wonga

(3.14%)

(1.1%)

8

8

5

35

46

25

5.15

5.42 the surface

by L.A.I. Wyborn

Kalkadoon

coverage (Bureau

of the respective of Mineral

4.28 granites,

so that a weighed

average

heat

Resources).

this perturbation. There is no question that during, or after, thickening of the crust felsic lower crust may melt, and that during extension deeperseated, mafic, pressure-release melting may occur.

Crust-mantle detachment Figure 6F shows that sillimanite-grade conditions can be reached when the crust is abruptly “underplated” by hot asthenospheric material,

However, whatever pulse of magmatic

which,

the mode of magmatism, heat is short-lived and

the T/P

ratios will only be raised temporarily. In the Mount Isa Inlier, there is no evidence for syn- or immediately pre-metamorphic rising melts. The additional thermal effect of mid-crustal, pre-metamorphic granites enriched in HPE will be permanent, however. Table 3 gives concentrations of the HPE in the main pre-metamorphic granites of the Mount Isa Inlier. The concentration of HPE in Mount Isa’s granites is anomalously high; it yields an average radiogenic heat production of 4.1 pW/m3. This is 52% higher than the worldwide average (2.68 pW/m3 according to Turcotte and Schubert, 1982). Figure 2 shows the effect of a granitic slab between 18 and 22 km with a heat production of 4.1 pW/m3 on the steady-state conductive geotherm. It will raise the temperature in the 3-5 kbar interval by 50-75°C which is not enough, though, to transect the andalusite/ sillimanite field. Pre-metamorphic HPE-enriched granites are widespread elsewhere in the northern Australian Early to Middle Proterozoic fold belts (Wyborn et al., 1987). The presence of such granites alone can explain steep average geothermal gradients, but not the anti-clockwise P-T-t path. Also, no major pre-peak metamorphic granites are within 20 km (surface-) distance to the Soldiers Cap Group, whereas it too is affected by the low-P facies metamorphism.

after

simulates

upwelling,

cools

by conduction.

in simplified

form

the

It

extension-trig-

gered delamination models for Proterozoic fold belts, proposed by Kroner (1983) and Etheridge et al. (1987). Such models, however, cannot be applied to the Mount Isa Inlier for the same reasons that models incorporating only extension cannot be applied: the time gap between extension/ delamination and low-P facies metamorphism is too wide. Hot mode delamination, associated the documented extensional events, would

with miti-

gate this objection. However, there is little evidence for anomalously steep geothermal gradients in the 120 Ma time gap between extension and metamorphism: there is no record of major crustal magmatism in this time span, nor is D,i generally characterized by low-P facies assemblages. In contrast, in both the Mount Isa Inlier and the Willyama Block (Fig. l), metamorphic grades increased during crustal thickening (respectively Reinhardt and Hamilton, in prep., and Hobbs et al., 1984). Any causal relation between the documented extensional events in the inliers and the at least 100 Ma younger phases of low-P facies metamorphism

is

therefore

invalid.

A

variation,

favoured here, is the coupling of crust-mantle detachment with compressional tectonics. Crustal thickening and concomitant thinning of the mantle lithosphere

(convective)

The main attraction of this model is that convective thinning of the mantle lithosphere is syn-

209

chronous

with thickening

with the period Also,

heat

remain

flow

high

thickening.

at the

during Thus,

perturbation

of the crust

of low-P

base

brought

magmatism,

isotherms

considerable

time.

thus

crust

phase

about may

by stay

On the other

may

elevated hand,

for

with this model.

a ap-

None

insuperable.

First, it is unlikely crystallization

of sillimanite

of crustal

thickening,

magmatic

events)

the crustal

that this model

would

thickening

can lead to

the early stages

during

since

the delamination

have to predate

and strain

.( f

most of

rates would

thus

have to be very low. In the Mount Isa Inlier, however, andalusite/ sillimanite assemblages are coeval with the early stages of Dc2. If thinning of the mantle lithosphere was solely the result of Dcz, strain rates in this phase must have been unrealistically low (< = 10-‘5s-‘) and detachment of the upper crust relatively fast. It is more likely that a major thickening event preceded Dc2, i.e. D,, was not just of local importance, but triggered thinning of the mantle lithosphere. D,, thrusting has now been documented in the western part of the inlier (Bell, 1983) in the central part (Loosveld and Schreurs, 1987) and in the eastern part (Loosveld, 1989, this respect that is characterized mation. whereas is marked

and in press). It is noteworthy in the early crustal thickening, Dcl, by pre-dominantly brittle deforongoing crustal thickening, DC*,

by dramatically

higher

temperatures

and predominantly

model-dependent),

deformation.

This

is re-

garded as typical for the Early to Middle Proterozoic fold belts of northern Australia (Etheridge et al., 1987). Intrusion of the volumetrically huge 1500 Ma old granites, the Williams and Naraku Batholiths, clearly postdates Dc2. The phase of the Naraku Granite

main, coarse-grained gives a (Sm/Nd)T,,,

source age of 1637 Ma; the T,, source age of the Williams Batholith ranges from either 1530 to 1620 Ma, or, and more probably, from 1630 to 1720 Ma (Wyborn et al., 1988). Thus, the source ages for the main phases of the Williams and Naraku Batholiths are close to the deformation

events

during

the source

crustal

ages

thickening

accompanied

which

1610 k

the chronological

(and

the

may have been

mantle

huge

by major amounts

of

source rocks were created

in the lower crust or just

under

et al., 1988). A concur-

the crust (Wyborn

rence of crustal

thickening

would

strongly

point

(1981)

model

mantle

lithosphere

and such mantle

events

towards

Houseman

et al.‘s

for (convective)

instability

of the

during

compressional

tecton-

ics. The

second

problem

lies in the post-tectonic

history. Generally, crustal thickening must lead to syn- to post-erogenic uplift and erosion. In the Mount straints isobaric

Isa Inlier, however, petrological conindicate compression followed initially by Hamilton,

in

prep.). An explanation lies in the different constants for erosion and thermal relaxation:

time the

cooling

time constants

(Reinhardt

for erosion

and

(X: 60-300

Ma;

En-

gland and Richardson, 1977) are generally much greater than thermal time constants (heat transfer by conduction only: L2/m2~. in the order of tens of Ma). Thirdly, the common absence in the sillimanite (K-feldspar) zone of signs of nearby anatexiswhich, considering the steep metamorphic gradients, should have occurred immediately below this metamorphic

zone-can

by the Coulomb-Navier (opening) migrate,

ductile

is still very small

period(s)

and

there

database very

thermal

extension

ages for D,, and (less so) D,,, respectively 13 and 1544 &- 12 Ma. Although

of crustal

the short-lived

pear to be three problems is, however,

of the

the entire unlike

(and

facies metamorphism).

fractures are unlikely

potentially fracture through

be explained theory:

which

to be vertical

tensile

melt

can

in a regional

compressional regime. With overall high differential stress levels, melt migration will be severely constrained in all directions; all, it will do so horizontally.

if melt migrates

at

Conclusions General conclusions are: (1) Cooled granitoids, enriched in U, Th and K, substantially contribute to the local heat production. (2) Prograde and compressive metamorphism (+AT, +AP) cannot be attributed to any premetamorphic extensional event.

210

(3) After elimination

of other options,

ing of the crust with associated ning of the mantle possible

lithosphere

explanation

for

(convective) remains

(Convective)

thinning

sphere

has to be fast with respect thickening.

Conclusions Isa Inlier Proterozoic

period. concerning

probably

Australian

(1) The P-T-r

other

to Middle

isobaric cooling. In the Mount Isa Inlier, the low-P facies metamorphism is contemporaneous of pervasive

crustal

thickening.

magmatism preevent by at least

100 Ma. (2) Granitoids.

in U, Th and K, sub-

enriched

Isa Inlier, convective

lithosphere

might

high until

the end of Dcz.

Acknowledgements

The receipt

of an Australian

Additional provided

financial by

the

National

is gratefully and

logistical

Bureau

and assigned

support

of Mineral

(metamorphic petrology), Lesley Wyborn (granites) and particularly Mike Etheridge (general overview).

Reviews

by Mike Rickard,

N. Rast and

M.P. Ryan led to improvements in the paper. 1 am specially grateful to Ineke de Bruyn for her stubborn

assistance

with the programming.

notations

A B’

radiogenic

heat production

of granite

(2.5-7.5)

Au

radiogenic

heat production

at surface

(2-3)

values 10 me W/m’

10mh W/m’

c

concentration

(‘1

specific heat capacity

of fluid

4000 J kg

’ K ’

(‘, D

specific heat capacity

of solid

1000-1300

J kg

radiogenic-heat upward

the progressive

velocity (here. erosion

HPE

heat-producing

amount

the finite amount

K

thermal

L

lithospheric

concentration)

scale length (A = A,,e- ‘j”)

E

lo-15

rate)

of thickening;

conductivity

’ K ’

km

O-2 km/Ma f = e “. in case of constant

strain rate

of thickening elements

1.5-2.2

(mainly

U. Th, K)

of solid

thickness

2.0-3.0

W mm

100-200

km

’ K ’

&!xGr)_, ( P\c’,) r

stability

t

time in seconds

tdrt

time of crust-mantle

fmd

time at end of thickening

r,

intrusion

T, T rlux

liquidus

r,

solidus temperature

factor:

r = kAt/Ax* detachment

= k/h’ during

temperature temperature

temperature

at the base of the lithosphere

0.4 (by definition progressive

was

Resources,

Geology and Geophysics, Canberra, and the Broken Hill ,Proprietary Co. Ltd., Brisbane. The research benefited from discussions with Greg Houseman (numerical techniques), Steve Lonker

Abbreviations,

(e.g. CnK initial potassium

Univer-

acknowledged.

Appendix 1

J JAI

trig-

event. Tempera-

tures at the base of the crust remained approximately

thinning

have been

gered by DC,, the early thrusting

sity Ph.D. Scholarship

for the Early

Extension and pre-metamorphic date this major crustal thickening

(3) In the Mount of the mantle

to Middle

Proterozoic fold belts of Australia are markedly anti-clockwise, made up of a segment of prograde, low-P facies metamorphism (compressive heating; + AT, + A P), followed by a segment of essentially

with D,,, a phase

to the local heat production.

the Mount

Early

fold belts) are:

paths

contribute

at the base

high for a considerable

specifically

(and

litho-

to the progres-

Temperatures

of the crust have to remain part of the erogenic

P-T-f

of the mantle

stantially

thin-

as the only

anti-clockwise

paths.

sive crustal

thicken-

cruatal

thickening 750&900 Dc 800-1050

oC

12OC-1350°C 700-900

oc

here)

:11

fluid velocity

Vr

w=

V,@

effective

2.5.10m"-2.5.10m"

fluid flux

x

depth axis (m), positive downwards

P

the finite amount

bt=rh'L'/~

timestep

A.x=hL

depthstep

i

strain rate (constant)

cp

porosity

K = K/C &xc,,)

thermal

h

time constant

P,

specific density

of solid

27OOC3300 kg/m’

Pf

specific density

of fluid

1000 kg/m’

1.5-m

of extension

m/s

(locally)

0.04-2.0 Ma

(set)

2-4 km

(m)

diffusivity

I

10-151

_10~14~s lom’_lom~ 4.10~7P1.2.10

of solid

for erosion

(Ma) (E = he-"'Ed)

Appendix 2

50-500

‘m’s

Ma

ing experiments, a Lagrangian reference frame was generally used, such that the solid advection

The “conservation

factor can be omitted. The third factor:

of energy” equation

We start with the one-dimensional conservation of energy equation after, e.g., Carslaw and Jaeger (1959):

(1) where

T is temperature,

t is time,

c, is the heat

capacity of the solid, p, is the specific density of the solid, and K is the thermal conductivity (p,, c, and K are assumed constant in each given experiment). Transfer of heat is considered cal direction, x, only.

in the verti-

for radiogenic

heat

production

in the

crust, + A. A is assumed to decrease exponentially with depth or to be constant (see “Initial Conditions”, Appendix 3). Because of the common enrichment of heat-producing elements in fractionated granites, a different +A,, is assigned to the heat production in a granite. The second factor: -

EPA

$

accounts for the reference e.g., the top erosion level, rock system (negative for

porosity;

V, fluid

erosion of the upper surface where frame is fixed relative to that surface, boundary condition is held at the with E, the upward velocity of the with respect to the erosion level upward movement). In the thicken-

velocity

(negative

for upward

flow); ct heat capacity of the fluid; pr specific density of the fluid. W = V,@ = effective fluid flux. Equation

(1) expanded

with factors

1. 2 and 3,

3T -=.s+&-(E+MW)g

at

Depending on the physical processes that need to be modelled, various factors can be added to the right hand side of equation (1). The first accounts

is the advective component for upward single-pass fluid flow in a frame fixed to the rock pile, with @

(2)

\ \

with

K =

K/p,c,,

(p,c,)/(p,c,), Crank-Nicolson order)

the thermal can be (implicit,

diffusivity

and

M =

solved employing the finite-difference, second

algorithm:

PI.,+1- 7).,)/At =

ww/+,.,+,-2T.,+,

+ 7;-,.,+,

+

7;+,,,- 27;.,+ L&Ax’

+ A/P,L.,

-

(EC MW)(7;+1., - 7;.,wx

(e.g., Smith, 1978; Gerald and Wheatley, 1984). If one defines: r = tcAt/Ax’. r becomes the stability factor to the solution of the finite difference equation. Using this implicit, second order accurate scheme, the solution will be unconditionally stable: here, r is continuously 0.4. After grouping subscripts, eqn. (3) becomes:

212

recorded

(1 + 0.4)7;.,+, =

further

by Vitorello assumed

WT+,.,+, + T-1.,+1+ L.,) + AAT,‘p\c\

(Pollack

+ [i-0.4+

to calculate

and Chapman,

W m-’ Km’ (Schatz

(E+MW)AT/Ax]7;,,

and Pollack (1980). We have

an A, of 2.0, 2.5, or 3.0 pW/m’

various

1977) and a K of 2 or 3

and Simmons,

1972)

steady-state

in order

conductive

geo-

therms: + [0.2 - (E + MW)AT/Ax]

T+ ,,,

(4) T=

so that:

A@

r/D

K

Tr.,+, = {0.2(7Y+,,,+,

+ 71P,.,,,

+ TT;,.,)

+

+ AAT/p,c, + [0.2 - (E + MW)AT/Ax]

/1.4

TIndY- (A,D’/K) L

X

L, the thickness of the continental i.e. that part of the mantle which

7),,} (5)

against strained.

solid-state convection, For thermal effects

is on

lithosphere, is stabilized poorly conthe crust, the

lithospheric thickness is of importance. because the time-scale is proportional to L’. The litho-

Appendix 3 Model parameters Boundary conditions. The boundary quisites are made up of the temperature

prereat the

surface, fixed at 0°C and the temperature at the base of the thermal lithosphere (100-200 km), T,,,,. which ranges from 1200 to 1350” C (constant in a given experiment). Initial conditions. With respect to the distribution of heat-producing elements (HPE) in the upper crust, two geotherm endmembers are used here: HPE can either be homogeneously distributed over the upper crust or their concentration exponentially

K

with x in km.

7;+,.,

+ [l - 0.4 + (E + MW)AT/‘Ax]

decreases

A@ ~

---e

with depth.

The latter dis-

tribution could be the result of progressive fractionation of magmas (Lachenbruch, 1970) and upward migration of fluids with dissolution-precipitation of the HPE (Albarede, 1975; Moorbath, 1978). This exponential distribution is more realistic, since it preserves the observed linear relation between surface heat flow and surface radiogenic heat production under differential erosion within a heat flow province (Lachenbruch, 1970). A = A,,e ‘/D, with A,, the radiogenic heat production at the surface, and D the characteristic length scale for the distribution of HPE, in this case for the decrease of A with depth. Two different characteristic lengths, D, are used here (10 or 15 km). Both fall within the spread of characteristic lengths

sphere-asthenosphere boundary is probably gradational, but is here. rather arbitrarily. represented by an isotherm. Lithosphere thickness estimates based on heat flow studies (e.g., Pollack and Chapman, 1977) indicate an increase of thickness with tectonic age. Jordan and Sipkin and Jordan (1976) anomalously

short

travel-times

(1978, 1979, 1981) on the basis of the of ScS-waves

un-

der Precambrian shields (an average 4 s shorter than under oceans) and on geochemical evidence from kimberlites, favoured 200-400 km thick rigid mantle roots under these shields. They suggested that basalt-depletion of the upper mantle results in a chemical boundary layer with a higher viscosity, while thickening

of the depleted

with

the large

time

nesses under

explains

Precambrian

upper mantle

tectospheric

shields. Woodhouse

thickand

Dziewonski (1984) also argued for high values for L. associating mantle structures. up to 350 km depth, with surface tectonic expressions (ridges, shields). Richardson et al. (1984) argued, on the basis of diamond inclusions, for a lithospheric thickness of at least 180 km beneath Archaean shields. On the other hand, the thermal time constants for the lithosphere, which are proportional to L2. indicate a much thinner lithosphere, i.e. approximately 125 km (Parsons and Sclater, 1977; Sclater et al.. 1980). Also, the half-life of heat production for a chondritic model Earth is approximately

2 Ga, implyinp

q higher

basal

heat

213

flux

and

Middle

a thinner

lithosphere

in the

L is ranged

Proterozoic.

Early

to

here between

and 200 km.

Neglected parameters

(p,c,)EaT/ax

is the advected

E, the characteristic

relative

heat

flux, with

vertical velocity of the medium

Inevitably,

to plane x = 0. This is the rate of denuda-

tion of an otherwise

undeforming

tion can also be tectonic, are, however,

by means

no indications

in the

climate,

Mount

resistivity

Isa

of extensional

E

erosion

of

types, drainage patterns and surface thus on the rigidity of the lithosphere.

the

on rock

height, and All of these

history. ments

and

clear

relations

parameter

erosion-rates, as reported

values

by Hollister

range (1975,

function. such that, following Carson and Kirby (1972) England and Richardson (1977) and and England

(1979):

E = XEd e-r:h with

X a time constant

eroded sequence. crustal thickening however, essentially denudation

for the erosional

Ed the thickness

with unit Ma and

process

of the finally

Erosion started at the end of the period. In the Mount Isa Inlier,

the initial

post-tectonic

isobaric, so that factor is justified.

cooling

an omission

period

the thermal

of physical

mal conductivity,

1982) and 0.1 mm/yr (= 10 km/100 Ma). We have generally opted for the exponential erosion

Richardson

and

is

of the

the

heating,

extensional

offer

a particular

history.

Here,

I ne-

such as the therdeformation

experiments, absorbed

(4)

dur-

frictional

by devolatiliza-

(1) The

omission

of lateral

heat

transfer

is

acceptable, because the experiments simulate large-scale processes (the same anti-clockwise P-T-t paths are documented or inferred for Australian Proterozoic fold belts widely apart). On these scales, the lateral compared to the vertical temperature negligible. (2) The temperature

gradients

can safely

be assumed

dependence of c, Q’, K, and p on and pressure is negligible compared

to the dependence on lithology. Here, no specific lithology has been incorporated (except crust-

temperatures than even instantaneous

tend = 30 Ma) to tsnd = 3 Ma). spaced over the factor” r of 0.4, 0.4 L2/(2500 K). lop6 m*/s, At =

between

tion reactions:

son (1987) mentions characteristic fluid permeation rates (V,) of 4 mm/y (= 4 km/Ma = 1.3 . 1Op’0 m/s). Here, similar values are used, calcu-

from 2.5. lo-l2 (for f= 1.6 and 2.5 . lo-” m/s (for f= 1.6 and Fifty depthsteps were equally lithosphere, L. Using a “stability this implies a timestep, At, of With, e.g., L = 150 km and K = 0.11 Ma.

experi-

simplifications

parameters

and (5) energy

mantle distinction), occurrence of the metamorphism.

lated by taking W as (2400)/t,,, in m/s, thus simulating a constant devolatilization of a 20 km thick pelitic sequence (12 vol.% fluids) during deformation. This yields values of W ranging

most

metamorphic

numerical

(3) progressive

fluid flux, equals V,@ where V, is the fluid velocity and Q is the porosity. Thomp-

W, the effective

and

glect, for the reasons presented below, (1) lateral heat transfer, (2) the depth- and temperature-de-

ing

2 mm/yr,

rendering necessary

general

influencing

for a particular

from the

tially with time, or to be constant. the time-independent

known

have to be,

Factors

are numerous,

futile,

pendence

In the case of

experiments

simplified.

processes

Far

make generalizations about E almost impossible. Generally, E is taken either to decay exponen-

between

be,

are poorly

there

depends

numerical

should

metamorphic

for such late exten-

Inlier).

against

and

solid (denuda-

forces, in which case E is depth-dependent; sion

Appendix 4

100

(3) Progressive

because of the widespread to-be-modelled low-P facies extension

will result

in lower

instantaneous extension. Since extension cannot explain the

low-P Inlier,

facies metamorphism in the Mount Isa simulating progressive extension is superfluous. (Experiment series 2, on the other hand, does incorporate progressive thickening.) (4) Frictional heating (in W/m’); Qr = CT&,

(5,

is stress, and i is strain

rate)

is neglected here as studies by Reitan (1968a. 1968b, 1969) Graham and England (1976) and Werner (1985) show that its influence is limited.

214

Frictional

melting

opment

can possibly

of pseudotachylytes,

cool, dry, crystalline 1972;

lead to the devel-

Sibson,

inverted

and especially

rocks (McKenzie

1975;

Maddock,

metamorphic

mic; e.g., the conversion mately

plus

47 kJ/kg,

production

Locally

zones can result, but only if

reactions

to sillimanite

and Brune,

1983).

most strain is taken up in narrow Dehydration

so in

zones.

K-feldspar

plus quartz

which offsets

approxi-

a radiogenic during

of

Walther and Orville (1982) showed that the devolatilization reactions, which take place during the metamorphism of an average pelitic rock, absorb approximately

168 kJ/kg,

whereas

some 210

kJ/kg is needed to heat one kilogram of pelitic rock from 400-600°C the assumed temperature interval dition

for such

devolatilization.

Geol. Sot. S. Afr., 89: 253-262.

Blake.

D.H.,

1987.

environs, Miner.

Resour.,

Thus,

the ad-

of:

W..

Brady,

at 3

200

1985.

for the

heat required for endothermic devolatilization reactions during prograde metamorphism. However, as we are here concerned with he heat the entire lithosphere, the factor is proximated by a low value of A,. The a factor for endothermic reactions

balance of simply apomission of affects all

tectono-thermal models in this comparative study equally, and is thus of secondary importance.

Rec., 1985 (24).

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