By the two-scale homogenization approach we justify a two-scale model of ion transport through a layered membrane, with flows being driven by a pressure gradient and an external electrical field. By up-scaling, the electroosmotic flow equations in horizontal thin slits separated by thin solid layers are approximated by a homogenized system of macroscale equations in the form of the Poisson equation for induced vertical electrical field and Onsager's reciprocity relations between global fluxes (hydrodynamic and electric) and forces (horizontal pressure gradient and external electrical field). In addition, the two-scale approach provides macroscopic mobility coefficients in the Onsager relations. On this way, the cross-coupling kinetic coefficient is obtained in a form which does involves the  -potential among the data provided the surface current is negligible.

Coupled geomechanic and fluid flow analysis is applied to develop theoretical and experimental background for geosteering and well logging to diagnose the state of near-wellbore formation and oil reservoir. The suggested methods of processing EM induction (VIKIZ) and Russian laterolog (RLL) resistivity responses account for effects of stress-dependent fluid flow changes. The geomechanic and fluid-flow effects on resistivity well logs are investigated for the case of asymmetric invasion and related irreversible deformation. Ways of taking into account stress-dependent effects on resistivity logs are developed on the basis of 3D modeling of geomechanic and electromagnetic fields.

Terrigenous reservoirs are studied by a joint analysis of processes of various physical nature. This study is urgent because new methods for formation evaluation (first of all, permeability) from electric and electromagnetic logging data are required. We propose a method for the complex processing and interpretation of time-lapse well logging electromagnetic measurements, which show the dynamics of processes in the well influence zone. The constructed electrohydrodynamic model of the borehole environment is used to estimate the hydrophysical (petrophysical) parameters of the formation.

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