Reflectivity method for geomechanical equilibria

Details Reflectivity method for geomechanical equilibria Reflectivity method for geomechanical equilibria

Aug 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007geoji.170..567k&link_type=abstract

Geophysical Journal International, Volume 170, Issue 2, pp. 567-579.

Astronomy and Astrophysics

Astronomy

Elastic Deformations, Electrokinetic Coupling, Equilibrium, Hydrocarbon Reservoir, Reflectivity Method

Scientific paper

It is shown that the block LU decomposition of the transfer and scattering matrix convert these matrices into each other. This allows to introduce a generalization of the Kennett reflectivity method, which is applicable to arbitrary systems of linear differential equations. The introduced method is convenient to analyse equilibria, where the governing matrix is degenerate. The resulting algorithm is compact and numerically stable. To illustrate the concept, we consider elastic equilibrium of a layered medium. We also derive closed-form expressions for a quasi-stationary poroelastic case taking into account solid-fluid and electrokinetic coupling.

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