Ch 24 Mineral Assemblages

77
Chapter 24. Stable Mineral Assemblages in Metamorphic Rocks Equilibrium Mineral Assemblage s At equilibrium, the mineralogy (and the composition of each mineral) is determined by T, P, and X “Mineral paragenesis” refers to such an equilibrium mineral assemblage Relict minerals or later alteration products are excluded unless specifically stated

Transcript of Ch 24 Mineral Assemblages

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Chapter 24. Stable Mineral

Assemblages in Metamorphic Rocks

• Equilibrium Mineral Assemblages

• At equilibrium, the mineralogy (and the composition of 

each mineral) is determined by T, P, and X

• “Mineral paragenesis” refers to such an equilibrium

mineral assemblage

•Relict minerals or later alteration products are excludedunless specifically stated

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The Phase Rule in Metamorphic Systems

If F 2 is the most common situation, then thephase rule may be adjusted accordingly:

F = C - f + 2 2 

f  C (Eq 24.1)Goldschmidt’s mineralogical phase rule, or simply

the mineralogical phase rule

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The Phase Rule in Metamorphic Systems

Suppose we have determined C for a rock 

Consider the following three scenarios:

a) f = C

The standard divariant situation

The rock probably represents an equilibrium

mineral assemblage from within ametamorphic zone

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The Phase Rule in Metamorphic Systems

b) f < CCommon with mineral systems that exhibit solid

solution

Plagioclase

Liquid

Liquid

plus

Plagioclase

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The Phase Rule in Metamorphic Systems

c) f > CA more interesting situation, and at least one of 

three situations must be responsible:

1) F < 2The sample is collected from a location right on

a univariant reaction curve (isograd) or

invariant point

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The Phase Rule in Metamorphic Systems

Consider the following three scenarios:

C = 1f = 1 common

f = 2 rare

f = 3 only at the specificP-T conditions of the

invariant point

(~ 0.37 GPa and

500oC)

Figure 21.9. The P-T phase diagram for the system Al2SiO5 

calculated using the program TWQ (Berman, 1988, 1990, 1991).

Winter (2010) An Introduction to Igneous and Metamorphic

Petrology. Prentice Hall.

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The Phase Rule in Metamorphic Systems

2) Equilibrium has not been attained

The phase rule applies only to systems at equilibrium,

and there could be any number of minerals

coexisting if equilibrium is not attained

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The Phase Rule in Metamorphic Systems

3) We didn’t choose the # of components correctly 

Some guidelines for an appropriate choice of C

• Begin with a 1-component system, such as CaAl2Si2O8 

(anorthite), there are 3 common types of major/minor components

that we can adda) Components that generate a new phase

Adding a component such as CaMgSi2O6 (diopside), results

in an additional phase: in the binary Di-An system diopside

coexists with anorthite below the solidus

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The Phase Rule in Metamorphic Systems

3) We didn’t choose the # of components correctly 

b) Components that substitute for other components

• Adding a component such as NaAlSi3O8 (albite) to the 1-C

anorthite system would dissolve in the anorthite structure,

resulting in a single solid-solution mineral (plagioclase)below the solidus

• Fe and Mn commonly substitute for Mg

• Al may substitute for Si

• Na may substitute for K

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The Phase Rule in Metamorphic Systems

3) We didn’t choose the # of components correctly 

c) “Perfectly mobile” components 

• Mobile components are either a freely mobile fluid

component or a component that dissolves readily in a fluid

phase and can be transported easily

• The chemical activity of such components is commonly

controlled by factors external to the local rock system

• They are commonly ignored in deriving C for metamorphic

systems

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The Phase Rule in Metamorphic Systems

Consider the very simple metamorphic system, MgO-H2O 

• Possible natural phases in this system are periclase 

(MgO), aqueous fluid (H2O), and brucite (Mg(OH)2)

• How we deal with H2O depends upon whether water is

perfectly mobile or not

• A reaction can occur between the potential phases in this

system:

MgO + H2O Mg(OH)2  Per + Fluid = Bru

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Figure 24.1. P-T diagram for the reaction brucite = periclase +water. From Winter (2010). An Introduction to Igneous and

Metamorphic Petrology. Prentice Hall.

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Figure 24.1. P-T diagram for the reaction brucite = periclase +

water. From Winter (2010). An Introduction to Igneous and

Metamorphic Petrology. Prentice Hall.

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The Phase Rule in Metamorphic Systems

How do you know which way is correct?

The rocks should tell you

• Phase rule = interpretive tool, not predictive

• If only see low-f assemblages (e.g. Per or Bru in the

MgO-H2O system) some components may be mobile

• If many phases in an area it is unlikely that all is right on

univariant curve, and may require the number of 

components to include otherwise mobile phases, such as

H2O or CO2, in order to apply the phase rule correctly

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Chemographic Diagrams

Chemographics refers to the graphical representation

of the chemistry of mineral assemblages

A simple example: the plagioclase system as a linear

C = 2 plot:

= 100 An/(An+Ab)

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Note that this subdivides the chemographic diagram into 5

sub-triangles, labeled (A)-(E) 

x - xy - x2z

xy - xyz - x2zxy - xyz - y

xyz - z - x2z

y - z - xyz

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What happens if you pick a composition that falls directly on

a tie-line, such as point (f)?

Figure 24.2. Hypothetical three-component

chemographic compatibility diagram

illustrating the positions of various stable

minerals. Minerals that coexist compatiblyunder the range of P-T conditions specific to

the diagram are connected by tie-lines. After

Best (1982) Igneous and Metamorphic

 Petrology. W. H. Freeman.

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In the unlikely event that the bulk 

composition equals that of a single

mineral, such as xyz, then f = 1, but

C = 1 as well 

“compositionally

degenerate” 

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Chemographic Diagrams

Valid compatibility diagram must be referenced to a

specific range of P-T conditions, such as a zone in

some metamorphic terrane, because the stability of 

the minerals and their groupings vary as P and T vary

• Previous diagram refers to a P-T range in which

the fictitious minerals x, y, z, xy, xyz, and x2z are

all stable and occur in the groups shown

• At different grades the diagrams change

Other minerals become stable

Different arrangements of the same minerals (different

tie-lines connect different coexisting phases)

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A diagram in which some minerals exhibit solid solution

Figure 24.3. Hypotheticalthree-component

chemographic compatibility

diagram illustrating the

positions of various stable

minerals, many of which

exhibit solid solution. After

Best (1982) Igneous and 

 Metamorphic Petrology. W. H.

Freeman.

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Figure 24.3. Hypotheticalthree-component

chemographic compatibility

diagram illustrating the

positions of various stable

minerals, many of which

exhibit solid solution. After

Best (1982) Igneous and 

 Metamorphic Petrology. W. H.

Freeman.

If Xbulk on a tie-line

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Xbulk in 3-phase triangles F = 2 (P & T) so Xmin fixed

Figure 24.3. Hypotheticalthree-component

chemographic compatibility

diagram illustrating the

positions of various stable

minerals, many of which

exhibit solid solution. After

Best (1982) Igneous and 

 Metamorphic Petrology. W. H.

Freeman.

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Chemographic Diagrams for

Metamorphic Rocks

• Most common natural rocks contain the major

elements: SiO2, Al2O3, K2O, CaO, Na2O, FeO,

MgO, MnO and H2O such that C = 9

• Three components is the maximum number that

we can easily deal with in two dimensions

What is the “right” choice of components?• Some simplifying methods:

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1) Simply “ignore” components 

• Trace elements

• Elements that enter only a single phase

(we can drop both the component and the

phase without violating the phase rule)

• Perfectly mobile components

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2) Combine components

Components that substitute for one

another in a solid solution: (Fe + Mg)

3) Limit the types of rocks to be shown

Only deal with a sub-set of rock types forwhich a simplified system works

4) Use projections

I’ll explain this shortly 

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The ACF Diagram

• Illustrate metamorphic mineral assemblages in mafic rockson a simplified 3-C triangular diagram

• Concentrate only on the minerals that appeared or

disappeared during metamorphism, thus acting as

indicators of metamorphic grade

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The ACF Diagram

The three pseudo-components are all calculated

on an atomic basis:

A = Al2O3 + Fe2O3 - Na2O - K2O

C = CaO - 3.3 P2O

F = FeO + MgO + MnO

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The ACF Diagram

A = Al2O3 + Fe2O3 - Na2O - K2O

Why the subtraction?

• Na and K in the average mafic rock are typically

combined with Al to produce Kfs and Albite

• In the ACF diagram, we are interested only in the other K-

bearing metamorphic minerals, and thus only in the

amount of Al2O3 that occurs in excess of that combined

with Na2O and K2O (in albite and K-feldspar)• Because the ratio of Al2O3 to Na2O or K2O in feldspars is

1:1, we subtract from Al2O3 an amount equivalent to Na2O

and K2O in the same 1:1 ratio

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The ACF Diagram

• Water is omitted under the assumption that it is perfectly

mobile

Note that SiO2 is simply ignored We shall see that this is equivalent to projecting from quartz

• In order for a projected phase diagram to be truly valid,

the phase from which it is projected must be present in the

mineral assemblages represented

By creating these three pseudo-components, Eskola reduced

the number of components in mafic rocks from 8 to 3 

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A typical ACF compatibility diagram, referring to a specific

range of P and T (the kyanite zone in the Scottish Highlands)

Figure 24.5. After

Turner (1981).

 Metamorphic Petrology.

 M cGraw Hill.

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AKF compatibility diagram (Eskola, 1915) illustrating

paragenesis of pelitic hornfelses, Orijärvi region Finland

Figure 24.7. AfterEskola (1915) and

Turner (1981)

 Metamorphic Petrology.

 M cGraw Hill.

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Projection from Apical PhasesFo - Mg2SiO4  Per - MgO  En - MgSiO3 

Qtz - SiO2  Di - CaMgSi2O6  Cc - CaCO3 

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Projection from Apical Phases

Pseudo-binary Mg-Si diagram in which Di is

projected to a 33% Mg - 66% Si

MgO  SiO 2 Fo  En  Di'  Q Per 

+ Cal 

Fo - Mg2SiO4  Per - MgO  En - MgSiO3 

Qtz - SiO2  Di - CaMgSi2O6  Cc - CaCO3 

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Projection from Apical Phases

• In accordance with the mineralogical phase rule

(f = C) get any of the following 2-phase mineral

assemblages in our 2-component system:

Per + Fo Fo + En

En + Di Di + Q

MgO  SiO 2 Fo  En  Di'  Q Per 

Projection from Apical Phases

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Projection from Apical Phases

What’s wrong? 

MgO  SiO 2 Fo  En  Di'  Q Per 

Figure 24.11. Winter

(2010) An Introduction to

Igneous and

Metamorphic Petrology.Prentice Hall.

Projected from

Calcite

+ Cal 

Projection from Apical Phases

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Projection from Apical Phases

What’s wrong? 

MgO  SiO 2 Fo  En 

+ Di 

Q Per 

Figure 24.11. Winter

(2010) An Introduction to

Igneous and

Metamorphic Petrology.Prentice Hall.

Better to have

projected fromDiopside

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P j i f A i l Ph

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Projection from Apical PhasesTwo compounds plot within the ABCQ compositional tetrahedron,

x (formula ABCQ)y (formula A2B2CQ)

Figure 24.12. Winter

(2010) An Introduction to

Igneous and

Metamorphic Petrology.

Prentice Hall.

P j i f A i l Ph

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Projection from Apical Phases

Figure 24.12. Winter

(2010) An Introduction to

Igneous and

Metamorphic Petrology.

Prentice Hall.

x = ABCQ

y = A2B2CQ

P j i f A i l Ph

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Figure 24.12. Winter

(2010) An Introduction to

Igneous and

Metamorphic Petrology.

Prentice Hall.

Projection from Apical Phases

x = ABCQ

y = A2B2CQ

P j ti f A i l Ph

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Projection from Apical Phasesx plots as x' since A:B:C = 1:1:1 = 33:33:33

y plots as y' since A:B:C = 2:2:1 = 40:40:20

Figure 24.13. Winter

(2010) An Introduction to

Igneous and

Metamorphic Petrology.

Prentice Hall.

x = ABCQ

y = A2B2CQ

P j ti f A i l Ph

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Projection from Apical Phases

If we remember our projection

point (q), we conclude from thisdiagram that the following

assemblages are possible:

(q)-b-x-c

(q)-a-x-y(q)-b-x-y

(q)-a-b-y

(q)-a-x-c

The assemblage a-b-c

appears to be impossible

P j ti f A i l Ph

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Projection from Apical Phases

Figure 24.12. Winter

(2010) An Introduction to

Igneous and

Metamorphic Petrology.

Prentice Hall.

P j ti f A i l Ph

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Projection from Apical Phases

J B Th ’ A(K)FM Di

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J.B. Thompson’s A(K)FM Diagram 

An alternative to the AKF diagram for metamorphosed

pelitic rocks

Although the AKF is useful in this capacity, J.B.

Thompson (1957) noted that Fe and Mg do not

partition themselves equally between the variousmafic minerals in most rocks

J B Th ’ A(K)FM Di

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J.B. Thompson’s A(K)FM Diagram 

Figure 24.17. Partitioning of 

Mg/Fe in minerals in ultramafic 

rocks, Bergell aureole, Italy 

After Trommsdorff and Evans

(1972). A J Sci 272, 423-437.

J B Th ’ A(K)FM Di

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J.B. Thompson’s A(K)FM Diagram 

A = Al2O3 

K = K2O

F = FeOM = MgO

J B Thompson’s

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J.B. Thompson sA(K)FM

Diagram

Project from a phase that is

present in the mineral

assemblages to be studied

Figure 24.18. AKFM Projection

from Mu. After Thompson (1957).

Am. Min. 22, 842-858.

J B Thompson’s A(K)FM Diagram

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J.B. Thompson’s A(K)FM Diagram 

• At high grades muscovite

dehydrates to K-feldspar as thecommon high-K phase

• Then the AFM diagram should

be projected from K-feldspar

• When projected from Kfs,biotite projects within the F-M

base of the AFM triangle

Figure 24.18. AKFM Projection

from Kfs. After Thompson (1957).

Am. Min. 22, 842-858.

J B Thompson’s A(K)FM Diagram

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J.B. Thompson s A(K)FM Diagram 

A = Al2O3 - 3K2O (if projected from Ms)

= Al2O3 - K2O (if projected from Kfs) F = FeO

M = MgO

J B Thompson’s A(K)FM Diagram

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J.B. Thompson s A(K)FM Diagram 

Biotite (from Ms):

KMg2FeSi3AlO10(OH)2 

A = 0.5 - 3 (0.5) = - 1

F = 1

M = 2

To normalize we multiply

each by 1.0/(2 + 1 - 1) =

1.0/2 = 0.5

Thus A = -0.5

F = 0.5

M = 1

J B Thompson’s A(K)FM Diagram

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J.B. Thompson s A(K)FM Diagram 

Figure 24.20. AFM Projection from

Ms for mineral assemblages

developed in metapelitic rocks in

the lower sillimanite zone, New

Hampshire After Thompson (1957).

Am. Min. 22, 842-858.

Mg-enrichment

typically in theorder: cordierite >

chlorite > biotite >

staurolite > garnet

Choosing the Appropriate Chemographic Diagram

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Choosing the Appropriate Chemographic Diagram

• Example, suppose we have a series of pelitic rocks in

an area. The pelitic system consists of the 9 principalcomponents: SiO2, Al2O3, FeO, MgO, MnO, CaO,

Na2O, K2O, and H2O

• How do we lump those 9 components to get ameaningful and useful diagram?

Choosing the Appropriate Chemographic Diagram

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Choosing the Appropriate Chemographic Diagram

Each simplifying step makes the resulting system easier to

visualize, but may overlook some aspect of the rocks inquestion

• MnO is commonly lumped with FeO + MgO, or

ignored, as it usually occurs in low concentrations andenters solid solutions along with FeO and MgO

• In metapelites Na2O is usually significant only in

plagioclase, so we may often ignore it, or project from

albite• As a rule, H2O is sufficiently mobile to be ignored as

well

Choosing the Appropriate Chemographic Diagram

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Choosing the Appropriate Chemographic Diagram

Common high-grade mineral assemblage:

Sil-St-Mu-Bt-Qtz-Plag

Figure 24.20. AFM Projection from

Ms for mineral assemblages

developed in metapelitic rocks in

the lower sillimanite zone, New

Hampshire After Thompson (1957).

Am. Min. 22, 842-858.

Choosing the Appropriate

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Choosing the Appropriate

Chemographic Diagram

Figure 24.21. After Ehlers and

Blatt (1982). Petrology. Freeman.

Sil-St-Mu-Bt-Qtz-Plag

Choosing the Appropriate Chemographic Diagram

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Choosing the Appropriate Chemographic Diagram

We don’t have equilibrium 

There is a reaction taking

place (F = 1)

We haven’t chosen our components correctly and

we do not really have 3

components in terms of AKF

Figure 24.21. After Ehlers and

Blatt (1982). Petrology. Freeman.

Sil-St-Mu-Bt-Qtz-Plag

Choosing the Appropriate Chemographic Diagram

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Choosing the Appropriate Chemographic Diagram

Figure 24.21. After Ehlers and

Blatt (1982). Petrology. Freeman.

Sil-St-Mu-Bt-Qtz-Plag

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Choosing the Appropriate Chemographic Diagram

• Myriad chemographic diagrams have been proposed to

analyze paragenetic relationships in variousmetamorphic rock types

• Most are triangular: the maximum number that can be

represented easily and accurately in two dimensions

• Some natural systems may conform to a simple 3-

component system, and the resulting metamorphic

phase diagram is rigorous in terms of the mineral

assemblages that develop• Other diagrams are simplified by combining

components or projecting

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Choosing the Appropriate Chemographic Diagram

• Variations in metamorphic mineral assemblages result

from:1) Differences in bulk chemistry

2) differences in intensive variables, such as T, P, PH2O,

etc (metamorphic grade)

• A good chemographic diagram permits easy

visualization of the first situation

• The second can be determined by a balanced reaction in

which one rock’s mineral assemblage contains thereactants and another the products

• These differences can often be visualized by comparing

h hi di f h d