Modeling of compaction driven flow in poro-viscoelastic medium using adaptive wavelet collocation method

Geophysical Research Letters

Volumn 25, Issue 17, 1998, Pages 3239-3242

  Vasilyev, Oleg V ^a   Podladchikov, Yuri Yu ^b   Yuen, David A ^c  

^a STANFORD UNIVERSITY   (United States)

^b GEOLOGICAL INSTITUTE   (Switzerland)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE WAVELET COLLOCATION METHOD; BURGERS-LIKE NONLINEAR ADVECTION EQUATION; COMPACTION DRIVEN FLOW; DEBORAH NUMBER; MELT SEGREGATION; NONLINEAR CONVECTION-DIFFUSION EQUATION; PORO-VISCOELASTIC MEDIA;

COMPACTION; DIFFUSION; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; POROSITY; VISCOELASTICITY; WAVELET TRANSFORMS;

TECTONICS;

COMPACTION; FLOW PATTERN; MAGMATISM; MULTIPHASE FLOW; POROSITY;

EID: 0032173312     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/98GL52358     Document Type: Article

References (16)

1. Barcilon, V. and F. M. Richter, Non-linear waves in compacting media. J. Fluid. Mech., 164, 429-448, 1986.
2. Connolly, J. A. D., Devolatilization-generated fluid pressure and deformation-propagated fluid flow during prograde regional metamorphism. J. Geoph. Res., 18, 18,149-18,173, 1997.
3. Connolly, J. A. D. and Yu. Yu. Podladchikov, Compaction-Driven Fluid Flow in Viscoelastic Rock. To appear in Geodin. Acta, 1998.
4. Beylkin, G. and N. Saito, Wavelets, their autocorrelation function and multidimensional representation of signals, in Proceedings of SPIE - The International Society of Optical Engineering, Vol. LB26, Int. Soc. for Optical Engineering, Bellingham, 1993.
5. Hunt, J. M., Generation and migration of petroleum from abnormally pressured fluid compartments, Amer. Assoc. Petro. Geol., 74, 1-12, 1990.
6. Khodakovskii, G., M. Rabinowicz, G. Ceuleneer, and V. Trubitsyn, Melt percolation in a partially molten mantle mush: effect of a variable viscosity, Earth Planet. Sci. Lett., 134, 267-281, 1995.
7. Khodakovskii G., M. Rabinowicz, P. Genthon, G. Ceuleneer, 2D Modeling of melt percolation in the mantle: the role of a melt dependent mush viscosity. To appear in Geophys. Res. Lett., 1998.
8. McKenzie, D., The generation and compaction of partially molten rock. J. Petrol, 2 713-765, 1984.
9. Onishi, Y., R. Shekarriz, K. P. Recknagle, and P.A. Smith, TANK Sy-102 Waste Retrieval Assessment: Rheological measurements and Pump jet mixing simulations, Report PNNL-113521 UC-2030, Pacific Northwest Nat. Lab., Richland, WA, 1996.
10. Rubin, A. M., Dikes vs. diapirs in viscoelastic rock. Earth and Planetary Science Letters, 117, 653-670, 1993.
11. Scott, D. and D. Stevenson, 1986. Magma ascent by porous flow. J. Geophys. Res., 91, 9283-9296, 1986.
12. Spiegelman, M, Magma migration and magmatic solitary waves in 3-D. Geophys. Res. Lett., 22, 1289-1292, 1995.
13. Vasilyev, O. V., Multilevel Wavelet Collocation Methods for Solving Partial Differential Equations, Ph.D. Thesis, University of Notre Dame, May 1996.
14. Vasilyev, O. V. and S. Paolucci, A Dynamically Adaptive Multilevel Wavelet Collocation Method for Solving Partial Differential Equations in a Finite Domain. J. Comp. Phys., 125, 498-512, 1996.
15. Vasilyev, O. V. and S. Paolucci, A fast adaptive wavelet collocation algorithm for multi-dimensional PDEs. J. Comp. Phys., 138, 16-56, 1997.
16. Vasilyev, O. V., D. A. Yuen, and Yu. Yu. Podladchikov, Applicability of wavelet algorithm for geophysical viscoelastic flow. Geoph. Res. Lett., 24, 3097-3100, 1997.