Mathematical Distribution of Pressures in a Commercially Producing Petroleum Layer

Abstract

The development of an oil deposit is a field of knowledge that includes numerous directions of study, such as scientifically valid choice of deposit development systems and technologies, modeling and computation of oil displacement from strata, and optimal control of field development. The objective of this study is to carry out mathematical modeling of the distribution of the dynamic stratal pressure for an arbitrary oil deposit after geological exploration and to demonstrate the application of the proposed modeling technique to a concrete oil field with verification of the mathematical results. We show that modern computational methods and multiprocessor computers produce sufficiently accurate numerical results.