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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 802585, 6 pages
http://dx.doi.org/10.1155/2013/802585
Research Article

Inverse Problem Models of Oil-Water Two-Phase Flow Based on Buckley-Leverett Theory

1College of Petroleum Engineering, China University of Petroleum, Beijing 102249, China
2China National Oil and Gas Exploration and Development Corporation, Beijing 100034, China
3CNPC Beijing Richfit Information Technology Co., Ltd., Beijing 100013, China

Received 5 September 2013; Revised 30 October 2013; Accepted 30 October 2013

Academic Editor: Xiaoqiao He

Copyright © 2013 Rui Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Based on Buckley-Leverett theory, one inverse problem model of the oil-water relative permeability was modeled and proved when the oil-water relative permeability equations obey the exponential form expression, and under the condition of the formation permeability that natural logarithm distribution always obey normal distribution, the other inverse problem model on the formation permeability was proved. These inverse problem models have been assumed in up-scaling cases to achieve the equations by minimization of objective function different between calculation water cut and real water cut, which can provide a reference for researching oil-water two-phase flow theory and reservoir numerical simulation technology.