THE FLOW PROBLEM OF FLUIDS FLOW IN A FRACTAL RESERVOIR WITH DOUBLE POROSITY

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (10): 1118-1126.

THE FLOW PROBLEM OF FLUIDS FLOW IN A FRACTAL RESERVOIR WITH DOUBLE POROSITY

同登科¹, 张鸿庆²

1. Department of Applied Mathematics, Petroleum University (East of China), Dongying 257061, P. R. China;
2. Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, P. R. China

收稿日期:2000-06-05 修回日期:2001-04-27 出版日期:2001-10-18 发布日期:2001-10-18
基金资助:
University Key Teacher of Foundation of the Ministry of Education of China

THE FLOW PROBLEM OF FLUIDS FLOW IN A FRACTAL RESERVOIR WITH DOUBLE POROSITY

TONG Deng-ke¹, Zhang Hong-qing²

1. Department of Applied Mathematics, Petroleum University (East of China), Dongying 257061, P. R. China;
2. Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, P. R. China

Received:2000-06-05 Revised:2001-04-27 Online:2001-10-18 Published:2001-10-18
Supported by:
University Key Teacher of Foundation of the Ministry of Education of China

摘要/Abstract

摘要： The effective radius of oil well is introduced in the inner boundary in the problem of fluids flow through fractal reservoir with double porosity, and thus a new model is established. Taking the wellbore storage and steady-state skin effect into consideration, the exact solutions of the pressure distribution of fluids flow in fractal reservoirs with double porosity are given for the cases of an infinite outer boundary, a finite closed outer boundary and a bounded domain with the constant pressure outer boundary conditions. The pressure behavior of fractal reservoir with double porosity is analyzed by using a numerical inversion of the Laplace transform solution. The pressure responses of changing various parameters are discussed.

Abstract: The effective radius of oil well is introduced in the inner boundary in the problem of fluids flow through fractal reservoir with double porosity, and thus a new model is established. Taking the wellbore storage and steady-state skin effect into consideration, the exact solutions of the pressure distribution of fluids flow in fractal reservoirs with double porosity are given for the cases of an infinite outer boundary, a finite closed outer boundary and a bounded domain with the constant pressure outer boundary conditions. The pressure behavior of fractal reservoir with double porosity is analyzed by using a numerical inversion of the Laplace transform solution. The pressure responses of changing various parameters are discussed.

中图分类号:

O345
TE312

同登科;张鸿庆. THE FLOW PROBLEM OF FLUIDS FLOW IN A FRACTAL RESERVOIR WITH DOUBLE POROSITY[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(10): 1118-1126.

TONG Deng-ke;Zhang Hong-qing. THE FLOW PROBLEM OF FLUIDS FLOW IN A FRACTAL RESERVOIR WITH DOUBLE POROSITY[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(10): 1118-1126.

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THE FLOW PROBLEM OF FLUIDS FLOW IN A FRACTAL RESERVOIR WITH DOUBLE POROSITY

THE FLOW PROBLEM OF FLUIDS FLOW IN A FRACTAL RESERVOIR WITH DOUBLE POROSITY

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