MATHEMATICAL MODELING OF MULTIPHASE FILTRATION IN POROUS MEDIA WITH A CHEMICALLY ACTIVE SKELETON

The authors propose a mathematical model of two-phase fi ltration that occurs under the conditions of dissolution of a porous medium. The model can be used for joint description of complex chemical-hydrogeomechanical processes that are of frequent occurrence in the oil-and-gas producing and nature conservation practice. As an example, consideration is given to the acidizing of the bottom zone of the injection well of an oil reservoir. Enclosing rocks are represented by carbonates. The phases of the process are an aqueous solution of hydrochloric acid and oil. A software product for computational experiments is developed. For the numerical experiments, use is made of the data on the wells of an actual oil fi eld. Good agreement is obtained between the fi eld data and the calculated data. Numerical experiments with different confi gurations of the permeability of an oil stratum are conducted.
   
Author:  M. G. Khramchenkov and É. M. Khramchenkov
Keywords:  mathematical model, two-phase fi ltration, deformable porous medium, chemically active fl uid, skin factor
Page:  212