Peculiarity of Hydrodynamic Modeling of Fluid Flow in Porous Rocks Under Precipitation and Compaction Conditions

Abstract

In reservoir engineering and geophysics it is important to have a fundamental understanding of time dependent processes of fluid flow and species precipitation in the permeable rocks and their compaction. The porosity and effective stress evolution history of porous rock, involved into these processes, is described by a poro-viscoelastic (Maxwell-type) constitutive law. But such a process is disturbed by the precipitation and accumulations of a species in there P-T stability zones. This processes lead to decreasing of porosity and permeability. Mathematical model of coupled processes of sediment compaction and pore feeling by precipitation is developed. We formulate the coupled system of equations describing sediment accumulation and compaction, fluid and matter flow and dissolved species precipitation, and illustrate interdependence of the processes by numerical examples.