infrequent updates of the localization conditions is sufficient, thus in practice the iMSFVmethod is not significantly more expensive than the original MSFV method. A further topic ismulti-scale modeling of transport, which becomes more relevant as the cost for the flowcomputations is significantly reduced. A successful strategy consists in adaptively switchingbetween coarse and fine transport equations depending on the local saturation/concetrationvariation. However, efficient and accurate treatment of transport in heterogeneous porousmedia remains a challenging research topic with many open questions. Finally, thepresentation will cover the potential of such multi-scale methods for multi-physicsapplications, e.g. for coupled systems, w<strong>here</strong> different sub-domains are governed either by theNavier-Stokes equations or Darcy's law [2].References[1] T. Arbogast. Implementation of a locally conservative numerical subgrid upscalingscheme for two-phase Darcy flow. Journal of Computational Geosciences, 6:453--481,2002[2] G. Bonfigli and P. Jenny. An efficient multi-scale Poisson solver for the incompressibleNavier-Stokes equations with immersed boundaries. Submitted to Journal ofComputational Physics, 2008[3] L. J. Durlofsky. Numerical calculation of equivalent grid block permeability tensors forheterogeneous porous media. Water Resour. Res., 27: 699--708, 1991[4] H. Hajibeygi, G. Bonfigli, M. A. Hesse and P. Jenny. Iterative multiscale finite-volumemethod. Journal of Computational Physics, 19:8604--8621, 2008[5] T. Y. Hou and X. H. Wu. A multiscale finite element method for elliptic problems incomposite materials and porous media. Journal of Computational Physics, 134(1):169--189, 1997[6] P. Jenny, S. H. Lee and H. Tchelepi. Multi-scale finite-volume method for ellipticproblems in subsurface flow simulation. Journal of Computational Physics, 187(1), pp.47-67, 2003[7] P. Jenny and I. Lunati. Modeling Complex Wells with the Multi-Scale Finite-VolumeMethod. Journal of Computational Physics, 2008[8] I. Lunati and P. Jenny. Multiscale Finite-Volume Method for Compressible MultiphaseFlow in Porous Media. Journal of Computational Physics, 216, pp. 616-636, 2006[9] I. Lunati and P. Jenny. Multi-Scale Finite-Volume Method for Density-Driven Flow inPorous Media. Journal of Computational Geosciences, 2008[10] J.M. Nordbotten and P.E. Bjrstad. On the relationship between the multiscale finitevolumemethod and domain decomposition preconditioners. Journal of ComputationalGeosciences, 12(3):367--376, 2008[11] C. Wolfsteiner, S. H. Lee, and H. A. Tchelepi. Well modeling in the multiscale finitevolume method for subsurface flow simulation. Multiscale Model. Simul., 200616
The dynamics of magma in a convecting mantleR. F. KatzDepartment of Earth Sciences, University of Oxford, UKrichard.katz@earth.ox.ac.ukI will derive and review a standard formulation of the "magma dynamics" equationsgoverning conservation of mass and momentum for the magma/mantle system. To buildinsight into the behavior of the system, I will review the results of a series of modelcalculations of increasing complexity. These calculations will focus on wave and localizationphenomena in magma dynamics. I will then show how a thermodynamic formulation adaptedfrom the metallurgical literature (the Enthalpy Method) can facilitate the solution of tectonicscaleproblems in magma-dynamics. Enthalpy Method-based simulations of magma genesisand transport beneath a mid-ocean ridge will be presented as an illustration of the power ofthis approach.Tectonics and geodynamics of the AlpsE. KisslingInstitute of Geophysics, <strong>ETH</strong> Zurich, Switzerlandkiss@tomo.ig.erdw.ethz.chThis presentation aims to serve as an introduction to geology, tectonics, andgeodynamics of the Alps in combination with the proposition of a few plate tectonichypotheses testable by geodynamic modeling that are based on current knowledge of deepstructure and orogen evolution. By modeling Alpine lithospheric structure with simplifiedgeneric plate-tectonic processes we aim to further our understanding of current and pastorogenic driving forces.The Alps are the product of a classical Wilson cycle that begun with the opening of theAlpine Tethys between Eurasia in the north and Africa -with Adria attached- in the south inmesozoic times. In contrast to the wide ocean further east, by mid cretaceous time the westernTethys consisted of a series of relatively small ocean basins of different ages interconnectedby even narrower channels largely underlain by oceanic and sometimes by extendedcontinental lithosp<strong>here</strong>. Furthermore, the region between the two large plates over the pastfew 100Ma contained a number of small-sized and micro-continental plates that variablyseparated from and amalgamated with the larger plates similar to the current situation in theMediterranean. Convergence between the two large plates Africa and Europe since latecretaceous lead to subduction of oceanic lithosp<strong>here</strong> and subsequent collision of continentallithosp<strong>here</strong> in the tertiary. A number of peculiarities, however, distinguish the Alpine orogenyfrom others and they left their specific marks clearly visible in current deep lithosp<strong>here</strong>structure and tectonics. Presently, the Alps exhibit an uplift rate of about 2mm/y, a similarerosion rate and in relation to this vertical motion a very slow convergence rate of only 1-2mm/y. This slow convergence corresponds with relatively short and small lithosp<strong>here</strong> mantleslabs that exert only limited pull to the Adriatic micro plate in the south and negligable pull tothe large Eurasian plate. Furthermore, geometry of the two slabs and lower crustal indentationstructure in the Central and Western Alps suggests the subduction-collision zone is largelylocked. The two almost opposing slabs correspond well with surface geology w<strong>here</strong> in the east17
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Alaska that include the overriding
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ehavior in the direction of trench
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Modelling mantle dynamics and crust
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Upper mantle convective instability
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Investigating the physical properti
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influence of a NW push by the Adria
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parameters. The thermomechanical mo
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Core mantle boundary topography as
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considering the bending northern pa
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migration rates similar to the half
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Length-scale of compressible mantle
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The effects of glacial loading on l
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[4] A. Mohsen, R. Hofstetter, G. Bo
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either with imposed plate motions (
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is coupled to the mechanical one in
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ecognized with some confidence in t
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A benchmark study of mantle convect
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Figure: Correlation of predicted dy
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Figure 1. Planetary models using St
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Geodynamic modeling of terrane accr
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Longitude: Linking Earths ancient s
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Transitions in tectonic mode based
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Delamination takes place only in a
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jump on the pattern of flow are exp
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Alpert, Lisa Ann (laalpert@usc.edu)
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Hieronymus, Chris, Dr. (christoph.h
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Schmalholz, Stefan Markus, PD Dr. (