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