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Aug. 18-19 2006CIG Magma Dynamics Workshop Formulations for magma dynamics: The McKenzien view of the world Marc Spiegelman (LDEO/Columbia)

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Presentation on theme: "Aug. 18-19 2006CIG Magma Dynamics Workshop Formulations for magma dynamics: The McKenzien view of the world Marc Spiegelman (LDEO/Columbia)"— Presentation transcript:

1 Aug CIG Magma Dynamics Workshop Formulations for magma dynamics: The McKenzien view of the world Marc Spiegelman (LDEO/Columbia)

2 Aug CIG Magma Dynamics Workshop Conservation Equations for flow in viscously deformable permeable media (McKenzie, 1984, J. Petrol; Spiegelman, 1993, JFM; S&K&A, 2001, JGR)

3 Aug CIG Magma Dynamics Workshop Conservation Equations for flow in viscously deformable permeable media (McKenzie, 1984, J. Petrol; Spiegelman, 1993, JFM; S&K&A, 2001, JGR)

4 Aug CIG Magma Dynamics Workshop A Better Formulation: (for 2-D, constant Viscosity Potential Form) (Spiegelman, 1993 JFM) Separate incompressible and compressible components

5 Aug CIG Magma Dynamics Workshop A Better Formulation: (for 2-D, constant Viscosity Potential Form) (Spiegelman, 1993 JFM)

6 Aug CIG Magma Dynamics Workshop Some Solutions 3-D Non-linear Solitary Waves Melt-Driven Solid Convection

7 Aug CIG Magma Dynamics Workshop Non-constant viscosity: native equations

8 Aug CIG Magma Dynamics Workshop An improved formulation? Split Pressure into “lithostatic”, “compaction” and “dynamic” pressures


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