煤层气储层的数值模型及初步应用

中国科学技术大学

学士学位论文

论文题目：煤层气储层的数值模型及初步应用

作者姓名： 谢岳松 所在学院： 工程科学学院 学科专业： 近代力学 作者学号： PB06005025 导师姓名： 张均锋 完成时间： 二○一○年六月八日

University of Science and Technology of China

A dissertation for Bachelor’s degree

Study of Coalbed Methane Reservoir Numerical Simulation Model and Simple Application

Author’s Name： Yuesong Xie

speciality： Mechanical Engineering Supervisor： Junfeng Zhang Finished time: June 8, 2010

目 录

摘要·········································································

1 研究背景··································································· 1.1目的、意义····························································

1.2国内外煤层气数值模拟发展情况·········································· 1.3煤层气的生成，储存，和产出机理········································

1.3.1煤层气的生成···················································· 1.3.2煤的结构························································· 1.3.3煤层气的储集··················································· 1.3.3.1溶解气的储集机理···········································

1.3.3.2自由气的储集机理··········································· 1.3.3.3吸附气的储集机理··········································· 1.3.4煤层气的产出机理·················································

1.3.4.1煤层气的解吸机理··········································· 1.3.4.2煤层气的扩散机理··········································· 1.3.4.2.1非稳态扩散············································ 1.3.4.2.2拟稳态扩散··············································· 1.3.4.3煤层气的渗流机理··········································· 1.3.4.4煤层气的产出机理···········································

1.4煤层气气井的典型模型················································· 1.5煤层气储层的数学模型·················································

1.5.1地质模型······················································· 1.5.2数学模型························································· 1.5.2.1运动方程···················································

1.5.2.2连续性方程··············································· 1.5.2.3解吸方程·················································

1.5.2.4.辅助方程················································· 1.5.3定解条件·····················································

1.5.3.1外边界条件············································· 1.5.3.2内边界条件··············································· 1.5.3.3初始条件···············································

1.6煤层气储层与油气储层比较·············································

1.6.1流动方式差异·················································

1.6.2基本方程差异··················································· 1.6.3试井过程差异·················································

2研究方法·······························································

2.1煤层气储层的数值模型············································· 2.1.1离散差分·····················································

2.1.2非线性差分方程组············································· 2.1.3 IMPES方法·····················································

2.1.3.1 解吸项·····················································

2.1.3.2 产量项·····················································

2.1.3.3 参数选择··················································· 2.2方程组的求解··························································· 3 研究结果···································································

3.1准确性评估··························································· 3.2优缺点评估···························································

摘 要

本文概述了煤层气发展的背景与现状，研究了煤储层中煤层气的生成、储集和产出机理，并结合渗流力学，建立了描述三维、双孔隙、非平衡吸附、拟稳态条件下的气-水两相流体运移规律的煤层气储层的数学模型，详细推导了（该模型的IMPES（隐式压力显式饱和度）求解方法，并通过FORTRAN语言编程实现了该复杂数学模型的数值求解。通过与同类型软件计算结果比较，验证了方法的实用性，所得到的累计产量模拟曲线可以直接应用于煤层气田的生产分析，对于煤层气的开发具有积极的意义。

关键词：煤层气，储层，数值模拟，数学模型

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