考虑非稳态扩散的煤层气井产能预测模型
Productivity Prediction Model of Coalbed Methane Well Considering Nonsteady-state Diffusion
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- 引用格式:
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幸明刚,尹俊禄,赵丁楠,叶翠.考虑非稳态扩散的煤层气井产能预测模型[J].天然气与石油,2012,30(6):0.doi:
.Productivity Prediction Model of Coalbed Methane Well Considering Nonsteady-state Diffusion[J].Natural Gas and Oil,2012,30(6):0.doi:
- DOI:
- 作者:
- 幸明刚1 尹俊禄2 赵丁楠3 叶 翠1
- 作者单位:
- 1.长江大学,2.中国石油川庆钻探工程有限公司,3.新疆油田公司油气储运公司
- 关键词:
- 煤层气;吸附;扩散;渗流方程;产能预测;拉普拉斯变换
Coalbed methane (CBM); Adsorption; Diffusion; Seepage equation; Productivity prediction; Laplace transform
- 摘要:
- 为了准确预测煤层气井产能,有必要研究煤层气的运移产出机理,在充分考虑煤层气不同于常规气藏的吸附-解吸特性后,分析煤层气的储集、运移和产出过程,分别用Langmuir等温吸附定律、Fick第二定律描述煤层气的解吸和扩散过程,在常规气藏运移产出渗流微分方程的基础上考虑解吸及扩散过程后,建立了煤层气运移产出的数学模型,运用无因次变换、拉普拉斯变换等数学方法求得模型的解析解,通过数值反演方法并结合实例得出计算结果,结果表明所建模型具有一定的现场应用意义。
In order to accurately predict coalbed methane (CBM) well productivity, it is necessary to make clear the mechanism of coalbed methane migration output. Considered fully are adsorption and desorption characteristics of coalbed methane different from any conventional gas reservoir, analyzed are accumulation, migration and output process of coalbed methane, used respectively are Langmuir isothermal adsorption law and Fick's second law to describe coalbed methane desorption and diffusion process. Established is a mathematical model for coalbed methane migration and output according to seepage differential equation of conventional gas reservoir migration and output and considering desorption and diffusion process, applied are such mathematic method as dimensionless transformation and Laplace transformation to obtain analytical solution of the model and calculation results are given by numerical inversion method in combination with examples and the results show that the model has a certain field application significance.