A Calculus for Memory Effects in Dynamics of Porous Media
Andrzej J. Hanyga · 2002
P244 A CALCULUS FOR MEMORY EFFECTS IN DYNAMICS OF POROUS MEDIA ANDRZEJ HANYGA Institute of Solid Earth Physics Allégaten 41 N5007 Bergen Abstract An analytic method for obtaining exact and ray-asymptotic solutions of equations with singular memory effects is presented. It is applied to poroelastic problems. Relevance for more sophisticated models of porous rocks and hydrocarbon reservoirs exhibiting sub-wavelength heterogeneities or patchy two-phase fluid staration is discussed. Generalized finite-difference schemes for numerical solution of poroelastic equations with singular memory effects are also discussed. 1 Introduction Memory effects appear quite commonly in real materials because of the frequency dependence of material