煤层气

基于裂隙分形维数的煤储层压力动态分析

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  • (1.中国石油大学,山东 东营257061;2.中联煤层气有限责任公司,北京 100011)

收稿日期: 2007-10-26

  修回日期: 2008-03-24

  网络出版日期: 2008-06-10

Pressure Transient Analysis of Coal Seams Based on the Fractal Dimension of Fractures

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  • (1.China University of Petroleum, Dongying 257061, China; 2.China United Coalbed Methane Co., LTD, Beijing 100011, China)

Received date: 2007-10-26

  Revised date: 2008-03-24

  Online published: 2008-06-10

摘要

传统的煤层气渗流数学模型均是建立在欧几里德几何基础上的。以分形理论为基础,引入了分形维参数来刻画煤储层裂隙分形特性,在考虑了煤层的吸附特性、双重介质特征及介质变形的情况下,建立了只考虑裂缝发生形变的分形煤层气藏非平衡吸附、拟稳态条件下气体单相流动数学模型,并采用Newton法求得了该模型的数值解,讨论了无因次压力对模型参数的敏感性,绘制了典型压力曲线。认为此模型可为煤层气开采提供理论依据和新的试井模型。

本文引用格式

张先敏;同登科;胡爱梅 . 基于裂隙分形维数的煤储层压力动态分析[J]. 天然气地球科学, 2008 , 19(3) : 433 -436 . DOI: 10.11764/j.issn.1672-1926.2008.03.433

Abstract

Conventional flow mathematical models of coalbed methane are all based on Euclidean geometry. In this paper, new mathematical models based on the fractal theory are established by introducing fractal parameters to describe the fractal characteristics of the fractures in coal seams. The new models consider not only the double porosity and absorption of coal seams but also the deformation of medium. The numerical solutions are obtained by using the Newton method. The change rules of pressure are discussed when the parameters of models change. The plots of typical pressure curves are given, and the results provide theoretical basis and new well test methods for the exploitation of coalbed methane.

参考文献

1] Ertekin T,Sung W. Pressure Transient Analysis of Coal Seams in the [JP]Presence of Multi-Mechanistic Flow and Sorption PhenomenaR.SPE 19102,1989:1-6.

2Anbarci K, Ertekin T.A Comprehensive Study of Pressure Transient Analysis With Sorption Phenomena for Single-phase Gas Flow in Coal SeamsR. SPE 20568.

3] 刘珊,同登科.变形双重介质煤层气拟稳态渗流问题[J.天然气地球科学,2004,15(6):669-672.

4] 赵爱红,廖毅,唐修义.煤的孔隙结构分形定量研究[J. 煤炭学报,1998,23(4):439-442.

5] 秦跃平,傅贵.煤孔隙分形特性及其吸水性能的研究[J.煤炭学报, 2000,25(1):55-59.

6] 傅雪海,秦勇, 薛秀谦,.煤储层孔、裂隙系统分形研究[J.中国矿业大学学报:自然科学版,2001,30(3): 225-228.

7] 同登科,周德华,陈钦雷.具有应力敏感于渗透率的分形油气藏渗流问题的近似解析研究[J.石油勘探与开发,1999,26(3):53-57.

8Pavone A M,Schwerer F C. Development of Coal Gas Production Simulators and Mathematical Models for Well Test StrategiesR. Final Report.GRI Contract Number 5081-321 -0457, 1984.

9] 冯国忱.非线性方程组的迭代解法[M. 上海:上海科学技术出版社, 1989:205-209.

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