Numerical well test for well with finite conductivity vertical fracture in coalbed

doi:10.1007/s10483-014-1825-6

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (6): 729-740.doi: https://doi.org/10.1007/s10483-014-1825-6

Numerical well test for well with finite conductivity vertical fracture in coalbed

刘曰武¹, 欧阳伟平¹, 赵培华², 鹿倩², 方惠军³

1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, P. R. China;
2. PetroChina Coalbed Methane Company Limited, Beijing 100028, P. R. China;
3. Well Test Department of Geermu Oil Factory of Qinghai Oil Field, Geermu 816000, Qinghai Province, P. R. China

收稿日期:2013-07-21 修回日期:2013-10-15 出版日期:2014-06-01 发布日期:2014-06-01
通讯作者: Yue-wu LIU, Professor, Ph.D., E-mail: lywu@imech.ac.cn E-mail:lywu@imech.ac.cn
基金资助:
Project supported by the National Science and Technology Major Project of China (No. 2011ZX05038-003) and the Science and Technology Project of PetroChina Company Limited (No. 2010E-2205)

Numerical well test for well with finite conductivity vertical fracture in coalbed

Yue-wu LIU¹, Wei-ping OU-YANG¹, Pei-hua ZHAO², Qian LU², Hui-jun FANG³

1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, P. R. China;
2. PetroChina Coalbed Methane Company Limited, Beijing 100028, P. R. China;
3. Well Test Department of Geermu Oil Factory of Qinghai Oil Field, Geermu 816000, Qinghai Province, P. R. China

Received:2013-07-21 Revised:2013-10-15 Online:2014-06-01 Published:2014-06-01
Supported by:
Project supported by the National Science and Technology Major Project of China (No. 2011ZX05038-003) and the Science and Technology Project of PetroChina Company Limited (No. 2010E-2205)

摘要/Abstract

摘要： A new well test model is developed for the hydraulic fractured well in coalbed by considering the following aspects: methane desorption phenomena, finite conductivity vertical fractures, and asymmetry of the fracture about the well. A new parameter is introduced to describe the storage of the fracture, which is named as a combined fracture storage. Another new concept called the fracture asymmetry coefficient is used to define the asymmetry of the fracture about the well. Finite element method (FEM) is used to solve the new mathematical model. The well test type curves and pressure fields are obtained and analyzed. The effects of the combined fracture storage, desorption factor, fracture conductivity, and fracture asymmetry coefficient on the well test type curves are discussed in detail. In order to verify the new model, a set of field well test data is analyzed.

关键词: non-homogeneous orthotropic circular plate, transitional region, bending, exact solution, coalbed, fractured well, numerical method, finite element method (FEM), finite conductivity

Abstract: A new well test model is developed for the hydraulic fractured well in coalbed by considering the following aspects: methane desorption phenomena, finite conductivity vertical fractures, and asymmetry of the fracture about the well. A new parameter is introduced to describe the storage of the fracture, which is named as a combined fracture storage. Another new concept called the fracture asymmetry coefficient is used to define the asymmetry of the fracture about the well. Finite element method (FEM) is used to solve the new mathematical model. The well test type curves and pressure fields are obtained and analyzed. The effects of the combined fracture storage, desorption factor, fracture conductivity, and fracture asymmetry coefficient on the well test type curves are discussed in detail. In order to verify the new model, a set of field well test data is analyzed.

Key words: non-homogeneous orthotropic circular plate, transitional region, bending, exact solution, coalbed, fractured well, numerical method, finite element method (FEM), finite conductivity

中图分类号:

刘曰武;欧阳伟平;赵培华;鹿倩;方惠军. Numerical well test for well with finite conductivity vertical fracture in coalbed[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 729-740.

Yue-wu LIU;Wei-ping OU-YANG;Pei-hua ZHAO;Qian LU;Hui-jun FANG. Numerical well test for well with finite conductivity vertical fracture in coalbed[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(6): 729-740.

参考文献

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Numerical well test for well with finite conductivity vertical fracture in coalbed

Numerical well test for well with finite conductivity vertical fracture in coalbed

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