phase equilibria constraints and dynamics of magma differentiation in small to large magma chambers
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Seediscussions,stats,andauthorprofilesforthispublicationat:https://www.researchgate.net/publication/277721406
Phaseequilibriaconstraintsanddynamicsofmagmadifferentiationinsmalltolargemagmachambers
CONFERENCEPAPER·AUGUST2014
DOI:10.13140/RG.2.1.4231.7523
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17
5AUTHORS,INCLUDING:
AlexeyAriskin
LomonosovMoscowStateUniversity
136PUBLICATIONS970CITATIONS
SEEPROFILE
GalinaBarmina
RussianAcademyofSciences
56PUBLICATIONS465CITATIONS
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Availablefrom:AlexeyAriskin
Retrievedon:03February2016
Phase equilibria constraints and
dynamics of magma differentiation in small to large magma chambers
Alexey Ariskin1,
Galina Barmina1, Evgeny Koptev-Dvornikov2,
Egor Nikolaev1, Alexey Yaroshevsky2
1 Vernadsky Institute, Moscow, Russia2 Department of Geochemistry, Moscow
State University, Russia
Frenkel et al. (1988) Dynamics of intra-chamber differentiation of mafic magmas, 216 p.
Ariskin&Barmina(2000) Modeling phase equilibria at crystallization of basaltic magmas, 363 p.
1. Fundamentals of magma differentiation and
subordinate role of diffusive processes
2. Modeling solidification and crystal settling in
magma chambers
3. Significance of the buoyancy-driven convection
and crystal-rich suspension currents
4. The Convection-Accumulation Model
5. Development of COMAGMAT model and its
capabilty to calculate the structure of layered
intrusions
6. Main results for differentiated sills from the
Siberian platform
7. Examples for large layered intrusions
Plan of talk
Prehistory and methodology
Mike Frenkel
Alexey
Yaroshevsky
1978
Development of magma
differentiation models
Petrological and
geochemical studies of
mafic to ultramafic
layered intrusions
1. Genetic interpretation of
the natural obsertvations
vs. the modeling results
2. Updating the model
proposed
Tabular intrusions as an initial target
for the modeling
Country rocks
Country rocksHeat flux out
Magma (melt + suspended crystals)
Temperature or compositional convection?
In situ crystallization?
Crystal settling?
Mixed processes !?
Magmatic melt only?
Heat flux out
Fundamentals of the in situ crystallization
concept (Jackson, 1961)
Country rocks
Country rocks
Heat flux out
Bartlett’s temperature convection
Heat flux out
Heat flux out
Heat flux out
Boundary layer
Temperature convection
Temperature
dTliq /dP
Adiab
ate
Magmatic melt
Solid rock
The diffusive flows vs. the thermal flux
Magma body
Solid rock
Hot Cold
by Fourier’s low the thermal flux JQ=∂Q/∂t =-κρС (∂T/∂z)
Z
Transitional
zone
JQ > 0
Mg-rich melt Mg-depleted melt
Fe-depleted melt Fe-rich melt
by Fick’s low the diffusive flow Ii = -Di (∂Ci /∂z)
JQ> 0
Ii 0<>
Subordinate role of diffusion-driven processes
Ii = -Di (∂Ci /∂z), the diffusivity Di ∼∼∼∼10-10 – 10-15m2/s
JQ= ∂Q/∂t =-κρС (∂T/∂z), where C is the specific heat
and the thermal diffusivity κκκκ ∼∼∼∼10-6 – 10-7m2/s
Ii ∼∼∼∼ ki JQ , where ki ≈≈≈≈ 10-7 mole/cal !!!
Magma chambers are to cool and to crystallize
much faster than any significant effect of
diffusion can occur!
Subordinate role of diffusion
“On the relevant time scale, diffusion could be effective over distances no greater than a few centimeters”!
The Geological Society of America, Inc.
Memoir 132
1972
Heat and Mass Transport During
Crystallization of the Stillwater
Igneous Complex
G. B. Hess
The “Crystal-Settling Model” (1976-1979)
Boundary layer
JQU (t1)
JQL (t1)
Boundary layer
Solid rock
JQU (t2)
JQL (t2)
Time (t)
The main processes:
� Conductive cooling
� Crystallization in
boundary layers
� Formation of
chilled zones
� Heat transfer
through the magma
� Stokes’s crystal
settling
� Accumulation of
the crystals
� Cooling the
cumulate pile
� Motion of fronts of
solidification
A simplified phase diagram for basalts
This diagram was used at the development of the first “Crystal settling model”
After Bowen
The cornerstone of the proposed algorithm
Initial profile of
the temperature
Homoge-neous
Magma
Time t=t0
Country rocks
TMagma=1200oC
Tcr=25oC
200 m thick
Qin Olout Plout Pxout
Qout Olin Plin Pxin
Qin Olout Plout Pxout
Layer 1: ∆∆∆∆H, ToC, amounts
of melt & solid minerals
Layer 2: ∆∆∆∆H, ToC, amounts
of melt & solid minerals
Phase composition of the modelled “magma
layers” vs. their temperature distribution
Initial m
agma temperature
Homoge-neous
Magma
Country rocks
200 m thick
Solid
Solid
Current time t+∆∆∆∆t
Temp
Hetero-geneous
Magma
t=t0 t=t+∆t
The fundamental time-dependent structure:
Tabulating card to run
the program
BESM-6 at the Computer center of
the Russian Academy of Sciences
1977
Homogeneous magmatic melt
Height, m
Crystal-laden magma
(no stirring)Cumulate piles
Solidified rocks
Solidified rocks
Sandwich horizon !?
∼∼∼∼100 years ∼∼∼∼300 years The Crystal Settling
Model (CSM)
Distribution of minerals along the section of the
modeled intrusion: Crystal-Settling Model
Height, m
Mineral composition of modelled rocks, vol.%
The starting composition: 50 mole % Pl, 43% Px, 7% Ol;
the liquidus temperature is 1179°C;
the rates of crystal settling are: Pl 0.4 m/yr, Px 4.0 m/yr, Ol 7.6 m/yr
Anorthosite
Upper reversal
Lower reversal
Studies of differentiated sills
from the Siberian Platform
Anabar Shield
Aldan-Stanovoy
Shield
Podkanennaya Tunguska River
Lake Baikal
Siberian Craton
Norilsk
Province
Angara River
YeniseiRiver
Lena River
Vilyi River
Boating over rapids
of the Vilyi River
Podkamennaya Tunguska River
Siberian sills
49.4349.9249.4849.41SiO2
0.12
0.24
1.86
12.38
8.68
0.26
10.37
15.80
0.88
V304, 160 m
Vilyi River
0.13
0.35
2.12
11.77
7.86
0.28
11.00
15.85
1.16
Vavukan, 100 m
0.15
0.61
2.09
10.51
8.98
0.18
11.32
15.08
1.16
Kuzmovka, 90 m
Podkamennaya
Tunguska RiverLocation Average flood basalt
(Kutolin, 1972)Sill
TiO2 1.51
Al2O3 15.67
FeO 12.88MnO 0.19
MgO 6.31CaO 10.91
Na2O 2.22
K2O 0.75
P2O5 0.13
Comparison of results of the CSM modellingand the structure of the Siberian sills
1.0
0.5
0.0
Relative height
Olivine, %
10 20 30 10 20 30 10 20 30
Model B304 Vavukan KuzmovkaH=200 m 160 m 100 m 90 m
The origin of convective currents
in magma chambers
Heat loss
Bartlett’s temperature convection
Heat loss
Probable crystal distribution
near the solidification front
(Frenkel et al., 1976)
Boundary layer
Compositional convection in heterogeneous
magma
Solidified rocks
Cite (Hess, H., 1960. Stillwater Igneous Complex, Montana.
Geol. Soc. Amer. Memoir 80, 230 p.)
“… a layer of liquid might develop
below the roof which by loss of heat
and impregnation by crystals became
denser than the underlying liquid.
Although mechanically unstable it might develop
and remain in this position for a time”.
“Eventually overturn of the unstable mass of
liquid will occur. …some inhomogeneity in the
layer would cause it to get started at one point
first”.
“A downward bulge would form, the nose of
which would accelerate rapidly.
The velosity would be enormously greater
than the settling of crystals”.
“Light” magma
Hydrodynamic modelling of the buoyancy-driven
magma convection
(Trubitsyn, Kharybin, 1997)
A B
“Light” liquid “Light” liquid
Dense liquid Dense liquid
Assume isothermal process:
A High Vs-values at the
sedimentation Rayleigh
number Rs=10 < Ra (crit),
B Lower Vs-values at the
sedimentation Rayleigh
number Rs=1000 > Ra (crit),
Ra (crit) is the critical Rayleigh
number.
Z=h/ho is the relative height
where ho is the total thickness
of the layer of a “magmatic
melt”
Important issues from the scenario
1. The cooling-dependent structure of the boundary layers suggests time dependence, with the periods of the origin of the layers and their destruction.
Solidified rocks
2. Relatively short cycles of catastrophic sedimentation and convection should be repeated, probably becoming longer and dying out with time.
3. These processes promote a highly chaotic vigorous convection in the
chamber, including downward crystal-rich and upward crystal-
depleted convective currents.
4. The motions of the crystal-rich suspensions are the powerful mechanism of the large-scale transfer of the crystallized material
towards lower parts of the magma chamber.
Dynamics of the “Convection-Accumulation Model”
(CAM), the scheme from Frenkel et al. (1988)
Solidified rocks
Solidified rocks
Timet=0
Depth
z=0
Z
∂z /∂t = VStokes
Individual crystals
Country rocks
Sedimentation flows
∂z /∂t = VSed
VSed>> VStokes
Lines are the assumed trajectories of the settled/sedimentated crystals!
Uniform distribution of the magma composition
and its temperature assumed in the CAM model
Solid
Solid
Current time t1
Hetero-geneous
Magma
Ol +
melt
Solid
Solid Solid
Ol+Pl
+ melt
Solid
T2 <T1
Temp Temp
Time t2 = t1+∆∆∆∆t
T1
The fundamental time-dependent structure:
Height, m
Crystal-laden magma
The Convection-Accumulation Model
Cumulate piles
Solidified rocks
Solidified rocks
∼∼∼∼80 years ∼∼∼∼250 years
Crystal-laden magma
(assuming large –
scale stirring)
Homogeneous magmatic melt
Distribution of minerals along the section of
the modeled intrusion:
Height, m
Mineral composition of modelled rocks, vol.%Chilled Zone
The Convection-Accumulation Model (1976-1979)
Lower reversal
Chilled Zone
Upper reversal
Towards modeling the geochemical and
cumulate structure of differentiated sills:
1984–1989
Development of
the COMAGMAT model
simulating magma
crystallization processes
Construction of
the INTRUSION model
combining phase equilibria
calculations with those by the
Convection-Accumulation Model
Development of
the “Dynamics” algorithm
approximating the heat-mass
transfer in magma chambers
Mike Frenkel and Alexey Ariskin, Vernadsky institute, 1978
The empirical basis of the COMAGMAT model
1000 1100 1200 1300
1000
1100
1200
1300
T, °C
(exp)
1000 1100 1200 1300
(n=87) (n=95)
Ol-melt Pl-melt
r=0.970 r=0.937
1000 1100 1200 1300
T, °C (calc)
1000
1100
1200
1300
T, °C
(exp)
1000 1100 1200 1300
T, °C (calc)
Aug-melt Pig-melt(n=68) (n=17)
r=0.903 r=0.983
Mineral Comp Calibrated equations n Ref
Ol Fo ln K = 5543 / T - 2.32 + 0.210ln (Al/Si) 67 Ariskin et
Fa ln K = 6547 / T - 4.22 + 0.084ln (Al/Si) al., 1993
Pl An ln K = 10641 / T - 1.32 + 0.369ln R 58 Ariskin &
Ab ln K = 11683 / T – 6.16 - 0.119ln R Barmina,
1990
Aug En ln K = 8521 / T - 5.16 25 Ariskin et
Fs ln K = 13535 / T – 9.87 al., 1987
Wo ln K = 2408 / T – 1.24
Al01.5 D = 0.20
Pig En ln K = 8502 / T – 4.74 18 Ariskin et
Fs ln K = 5865 / T – 4.04 al., 1987
Wo ln K = 4371 / T – 4.02
AlO1.5 D = 0.10
Opx En ln K = 7208 / T – 3.71 39 [Bolikhov-
Fs ln K = 6386 / T – 4.39 skaya et
Wo ln K = 11950 / T – 10.40 al., 1996]
AlO1.5 D = 0.10
Notes. R = ln [(Na + K) Al / Si 2].
Mineral-melt geothermometers
calibrated in 1987-1996
Experimental vs. modelled
temperatures
Modelled vs. experimental data
Comments to the INTRUSION model
driven by difference in density between crystal-
enriched and crystal-depleted suspensions
(Trubitsyn, Kharybin, 1997)
The program calculates:
1. magma crystallization,
2. cooling of the magma body,
3. dynamics of downward transport of the near-roof crystallized material,
4. the motions of fronts of the in situ crystallization and crystal accumulation
5. original proportions of cumulate minerals and intercumuls melt,
6. bulk rock compositions for major and trace elements,
7. structure of upper and lower reversals responsible for the S-shaped profiles
Input parameters of the INTRUSION model
Oxygen fugacity (log fO2):
buffered or closed with respect to
oxygen system
Pressure (kbar):
isobaric or polybaric crystallization
Amount of intratelluric crystals
suspended in the parental magma,
wt%
Bulk composition of the parental
magma:
major+trace element contents, wt%
Thickness of the modelled
intrusion, meters
Properties of country rocks:
density, heat conduction, and heat
capacity
Magma properties:
density, heat conduction and heat
capacity (are variable)
The efficient rate of the convective
transport for each mineral, m/year :
Oliv, Plag, Augite, Pig/Opx, Ilm, Magn
Maximum fraction of accumulated
crystals (=minimum porosity):
both for upper and lower front
The boundary temperature:
as the initial thermal difference
between magma and country rocks
Comparisons of the modelled and observed
structure of the Siberian sillsFrenkel et al. (1988) Dynamics of intra-chamber differentiation of mafic magmas, 216 p.
Kuzmovka
VavukanB304
Structure of the Vavukan intrusion
Height, m
Poikilophitic
dolerite
Upper Zone
Lower inner-contact
Taxitophitic
dolerite
Gabbrodolerite
100
0
Ferro-gabbro
Cpx
Ol
OlMt
Pl
Cpx
Ol
Microdolerite
The modelled vs. observed structure of the
Vavukan intrusion (h=100 m, Vilyi River)
Ol – 20 m/year
Pl – 10 m/year
Cpx – 100 m/year
Velocities of sedimentation:
≤≤≤≤2.5%Intratelluric crystals
Ol+Pl at 1210oCParental magma
Original proportions of cumulate minerals
and amounts of crystals suspended in residual magmas
of the Vavukan chamber
0 10 20 30
Suspended crystals,%
0 10 20 30 40 50 60
Accumulated minerals, %
0
20
40
60
80
100
Height, meters
"Cumulate" rocks Residual magmas
Oliv Augite Plag SUM Ol Aug Plag SUM
Interpretation of WR geochemistry: Ni
OPTIMUM DYNAMIC MODEL
0 10 20 30
Cumulus Ol, %
0 100 200 300 400
Ni, ppm
WR modeledObserved
Ol+Pl, Lower
Reversal
Ol+Pl+Cpx±± ±±Mt
cumulates
100
80
60
40
20
0 m
Max fractionated
Oliv
Ni
Cum
Oliv
J
j
j
Ni
Cum
j
m
Nimelt
WR
Ni CfCfCfC ∑=
≈+=1
Upper Zone
Chilled rocks
Interpretation of WR geochemistry: Cr
Ol+Pl, Lower
Reversal
Ol+Pl+Cpx±± ±±Mt
cumulates
100
80
60
40
20
0 m
Max fractionated
OPTIMUM DYNAMIC MODEL
0 10 20 30
Cumulus Cpx, %
0 200 400 600 800
Cr, ppm
WR modeledObserved
Cpx
Cr
Cum
Cpx
J
j
j
Cr
Cum
j
m
Crmelt
WR
Cr CfCfCfC ∑=
≈+=1
Upper Zone
Chilled rocks
Interpretation of WR geochemistry: V
Ol+Pl, Lower
Reversal
Ol+Pl+Cpx±± ±±Mt
cumulates
100
80
60
40
20
0 m
Max fractionated
m
Vimelt
J
j
j
V
Cum
j
m
Vmelt
WR
V CfCfCfC ∑=
≈+=1
OPTIMUM DYNAMIC MODEL
40 60 80 100
Original porosity, %
100 200 300 400 500
V, ppm
WR modeledObserved
Chilled rocks
Upper Zone
Other attempts to develop a dynamic model
simulating the spatial structure of mafic intrusions
Criticism of the Convection-Accumulation Model
Geology, 2012, v. 40. p. 883-886.
Mode % (vol) MgO % (wt) Mg number % (mol) Ni (ppm) An content in Pl % (at)
Rims
Cores
Criticism of the Convection-Accumulation Model
MODELING: MgO(WR) Mg#(WR) Ni(WR)
An (intercum) An (liquidus)
An80
Microdolerite VV-138 from the chilled zone
1 mm
Modeling large layered intrusions:
The Kivakka intrusion (Karelia, Russia)
After Bychkova et al. (2007)
Olivinite
Norite
Gabbronorite
Pig-Gabbronorite
Interlayering
of norites and
bronzitites
H, m Ol Opx Pl Cpx Pig
Modeling large layered intrusions:
The Kivakka intrusion (Karelia, Russia)
Relative height
Lines – forward modeling by CAM
Normative composition, %
Whole-rock compositions, wt%
Small circles –observed
WR compositions
After Koptev-Dvornikov
(2012):
assumed pressure 2.6 kbar
Modeling large layered intrusions:
The Tsipringa intrusion (Karelia, Russia)Relative height
Normative composition, %
Whole-rock compositions, wt%
After Koptev-Dvornikov
(2012):
assumed pressure 5 kbar
SCSS
S in melt
Modeling the first sulfide-poor horizon
wt%
Lines – forward modeling by
CAM
Small circles– observed WR
compositions
BASIC CONCLUSIONS
1. The diffusion-driven processes can not result in any essential magma differentiation.
2. Only gravity-induced mechanisms can provoke an efficient transport of the crystallized material towards the lower parts of the magma chamber.
3. The role of in-situ crystallization is of two kinds. It is dominated at the earliest stages of solidification, whereas during the main course of solidification it is of a subordinate importance.
4. The S-shaped profiles are formed as a response of the crystallizing magma to the downward transport of solids, independently of the physical mechanism of their transfer.
5. The Convection-Accumulation theory describes quantitatively both the spatial structure and geochemistry of many layered intrusions, solidified as closed magma chambers.
CONCLUDING REMARKS
Our approach includes the contact crystallization
as an important component of phase equilibria
and thermal calculations.
1. Crystal settling vs. in situ crystallization
2. Other probable convection styles
The Convection-Accumulation Model does not
account for the compaction of cumulates, and the
compositional convection that could be induced
by pressing-out the intercumulus liquid upward
the cumulate pile.
CONCLUDING REMARKS
M.Ya. Frenkel(1943-1993)
M.Ya. Frenkel (1994)
THERMAL AND CHEMICAL DYNAMICS OF DIFFERENTIATION OF BASITE MAGMAS, 216 p.
“Whereas, the convective styles
themselves depend upon the
thermal field in which the intrusive
bodies began to solidify and
evolved”.
“The observed diversity of the structures of
layered intrusions is essentially the record
of an overprinting of several convection
styles occurred in the magma chambers”
Thermal fields as leading factor
Magma
“Cold” rocks(sediments)
T1
T2
∆T≈ 1200oC
(1) Siberian sills (2) Duluth, Dovyren (3) Sudbury IC?
MagmaMagma
∆T≈ 500oC
∆T ≈ 700-800oC “Warm” volcanics
Underlying “hot”intrusions
∆T < 0oC !
“Very hot” impact melt
“Cold” mafics of the Huron group ?
∆T≈ 1000oC
Sedimentation flows &
in situ crystallization →→→→implicit “orthocumulates”
Vigorous convection in chamber
and compositional convection in
cumultate pile →→→→ classic
orthocumulates and adcumulates
Mostly bottom in situ
crystallization →→→→implicit “orthocumulates”
Thank you for your attentionThank you for your attention
Podkamennaya Tunguska River. Podkamennaya Tunguska River.
Trap province of Eastern Siberia.Trap province of Eastern Siberia.
Geochemistry of CPX-oikocrysts in the rocks
from the Vavukan intrusionHeight, m
Poikilo-
phitic
dolerite
UZone
Gabbro-
dolerite
100
0After Koptev-Dvornikov et al. (1996): Evidence for the cumulate origin of clynopyroxene and for reequilibration of olivine in Vavukan-
Sill dolerites. Geochem. Intern., 33 (1), p. 81-102.
Contact
Taxitophi-
tic dolerite
Cr2O3, wt%
Cr2O3, wt%
Cr2O3, wt%
Fs, mole%
Fs, mole%
Fs, mole%
7.8 mm 7.8 mm
4.2 mm 4.2 mm
5.0 mm 5.0 mm
Cumulus Cpx
Intercumulus Cpx
Example of the CAM-theory: describe Ni
OPTIMUM DYNAMIC MODEL
0 10 20 30
Cumulus Ol, %
0 100 200 300 400
Ni, ppm
WR modeledObserved
)/1( SF
sed
Ol
magma
Ol
cum
Ol VVff −=
)/1( AF
sed
Ol
magma
Ol
cum
Ol VVff −=
)/(1
magma
m
j
crit
cum
sed
j
mag
jAF FFVfV ∑=
−=
Accumulation Front (AF):
Solidification Front (SF):
∑=
=m
j
magma
jmagma fF1
Suspended
phases
Lower crossover
VSF=Func (heat flux, JQ )Ol
Ni
cum
Ol
m
Nimelt
WR
Ni CfCfC +=
Cpx
Ni
cum
Cpx
Ol
Ni
cum
Ol
m
Nimelt
WR
Ni CfCfCfC ++=
Apparent absence of An80 in microdolerites?Ol+Pl
Ol+Pl+Cpx±± ±±Mt
Max fractionated
Chilled rocks
Upper Zone
Aspect ratio = Pl (WR) / Pl (cumulus)
40 50 60 70 801 10 1000 20 40 60
WR
Inter-
cumulus
Pl inmelt
Pl incumulus
WR
Pl mode (vol%) Aspect ratio An in Pl (mole%)
Pl-cum
Original proportions of cumulate minerals:
Forward vs. Inverse Modeling Results
0 10 20 30
Suspended crystals,%
0 10 20 30 40 50 60
Accumulated minerals, %
0
20
40
60
80
100
Height, meters
"Cumulate" rocks Residual magmas
Oliv Augite Plag SUM Ol Aug Plag SUM
Inverse COMAGMAT modeling
Cumulus minerals
/ Total (magma/cumulate)
S-shaped profile
due to the
“compositional
convection”?
FIG. 9. The “predictions” of the differentiation model are shown for the stratigraphic profiles of chemical compositions of the rocks:
(a) A refractory major element, (b) a highly incompatible trace element.
1. This is just a speculativescenario, proposed to describe the origin of the lower crossover
2. Note, in our model we did not try to describe the origin of the lower crossover. It was obtained automatically, as late as crystal settling was included in the dynamic calculations.
3. However, the proposed compositional convection and transport of fluids inside the cumulate pile is a valuable mechanism that can explain the formation of adcumulate rocks.
The “tear-droplike” magma suspension flows
Boundary layer
Сrystal accumulation
Solidified rocks
Heterogeneous magma
Cumulate pile
Recent modeling crystal
settling vs. convection
Figure 8. Typical (top) temperature and (middle) concentration profiles and the corresponding snapshots of a final state C regime. The particle-driven flow dominates the thermally driven flow. Most particles sink to the ground.
Figure 9. The packing of the particles in a Cregime isalmost a close packing of spheres.
The order isperturbed by upwelling hot plumes.
The C regime is characterized by particle-driven convection which leads to a segregation of the particles.
The bottom “sediment layer” is warm and mainly consists of all or most particles.
The top “suspension layer” is cold and has few or no particles in suspension.
Above the sediment layer there are someparticles which are still in the settling process.
New SCSS model and modeling sulfide immiscibility
in layered intrusions, see Koptev-Dvornikov et al. (2012)
Petrology, 2012, 20 (5), p. 450-466
ReferencesMonographs
Frenkel, M.Ya., Yaroshevsky, A. A., Ariskin, A.A., et al. (1988) Dynamics of in situ differentiation of
basic magmas, Moscow: Nauka, 216 p. (in Russian)
Ariskin, A.A. and Barmina, G.S. (2000)Modeling phase equilibria at crystallization of basalt magmas,
Moscow: Nauka, 363 p. (in Russian)
Papers
Ariskin, A.A. (1999) Phase equilibria modeling in igneous petrology: use of COMAGMAT model for
simulating fractionation of ferro-basaltic magmas and the genesis of high-alumina basalt, J. Volcanol.
Geotherm. Res., 90, 115-162.
Ariskin, A.A. (2003) The compositional evolution of differentiated liquids from the Skaergaard layered
series as determined by geochemical thermometry, Russian J. Earth Sci., 5 (1), 1-29.
Ariskin, A.A., and Barmina, G.S. (2004) COMAGMAT: Development of a magma crystallization model
and its petrologic applications: Geochem. Intern., 42 (Suppl.1), S1-S157.
Bychkova, Ya.V., Koptev-Dvornikov, E.V., Kononkova, N.N., and Kameneva, E.E. (2007) Composition
of rock-forming minerals in the Kivakka layered massif, northern Karelia, and systematic variations
in the chemistry of minerals in the rhythmic layering subzone: Geochem. Intern., 45 (2), 131-151.
Frenkel, M.Ya., Yaroshevsky, A. A., Ariskin, A.A., et al. (1989) Convective-cumulative model simulating
the formation process of stratified intrusions, in Magma-crust interactions and evolution, Bonin, B.,
Ed., Athens-Greece: Theophrastus Publ., pp. 3-88.
Koptev-Dvornikov, E.V., Aryaeva, N.S., and Bychkov, D.A. (2012) Equation of thermobarometer for
description of sulfide-silicate liquid immiscibility in basaltic systems: Petrology, 20, 450-466.
Trubitsyn, V.P. and Kharybin, E.V. (1997) Convection in magma chambers produced by inversion in
distribution of sinking crystals, Physics of the Solid Earth, 33, 382-386.
Variations of WR chemistry and Ol compositions
in the Camel sill (underneath the Yoko-Dovyren massif)
Fig 5.3 FeO*-MgO variation diagram. All unaltered WRanalyses lie on the olivine control line, illustrating the
compositional control by olivine (after Woolward, 2008).
Fig 4.2 Distribution of major element contents in the rocks throughout the Camel Sill section. The uniform and symmetrical patterns of patterns are consistent with the abundance of olivine (after Woolward, 2008).
Fo80
Fo82