taras v. gerya 1, james a.d. connolly 1, david a. yuen 2 1 eth– zurich 2 university of minnesota,...
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Taras V. Gerya1, James A.D. Connolly1, David A. Yuen2
1 ETH– Zurich2 University of Minnesota,
Minneapolis
= (Pressure, Temperature, Composition, Mineralogy)
H = H (Pressure, Temperature, Composition, Mineralogy)
Gibbs free energy minimization
(Gerya et al., 2001, 2004, Connolly & Petrini, 2002, Vasiliev et al., 2004)
Cp(DT/Dt) = (kT/x)/x + (kT/z)/z + Qp + Qshear + Qradioactive
Qp = (DP/Dt)[1- (H/P)T] Cp = (H/T)P
Latent heating is implemented via effective heat capacity (Cp)
and effective adiabatic heating (Qp)computed numerically from the enthalpy and density maps
Lagrangian temperature equation
standard thermodynamic relations
D(ln)/Dt + div(v) = 0Lagrangian continuity equation for compressible flow
Volumetric effects of phase transformations are taken into account in both the momentum and the continuity equations
дP/дx = (P2-P1)/x
P1 P2x
Finite differencesT
Combination of finite-differences, on staggered grid , and
marker-in-cell technique
Method of numerical solutionoriginal 2-D and 3-D
single- & multi-processor C-codes I2, I3, I2VIS, I2ELVIS, I2IOMP, I3MG
(Gerya et al., 2000; Gerya & Yuen, 2003)
Marker technique
Staggered grid
The software fit advances in hardware technology - Work stations: n104 nodes, n107 markers Supercomputers: n107 nodes, n1010 markers
in visualization technology -ultra-high spatial resolution for very large numerical models
The software accounts forvariable tectonic environment phase transformations visco-elasto-plastic rheologyerosion/sedimentation processes
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Accretion wedge
kmSubducting plate
Sea waterAir
ALL-IN-ONE TOOLBOX
10 million markers
Gerya et al. (2006)
Mixed and unmixed cold plumes
(with slab fluids signatures)
(with crustal melts)
10 billion markers
original view
zoom: 3
zoom: 10
zoom: 30
zoom: 100
zoom: 300
Internal structure of mixed plumes to 1 m scale
zoom: 30
Do we see cold plumes?Obata (2000)
1 km
1 km
Gerya et al. (2006) Zhao et al. (1992)
Numerical tomographic model
Seismic tomography
Do we see cold plumes?
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The End
