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Stress distribution and permeability modelling in coalbed methane reservoirs by considering desorption radius expansion

机译：考虑解吸半径膨胀，煤层气储层中应力分布和渗透性建模

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摘要

Coal permeability is significantly stress-dependent and changes during gas production. In the previous studies, less attention has been paid to the impact of desorption radius and its expansion on the stress distribution and permeability changes. In this work, a mathematical model is developed to analytically evaluate the dynamic stress distribution and accordingly permeability by coupling the geomechanics, sorption and fluid flow in the cleat system. In this approach, the coalbed is divided into two regions: desorption area and non-desorption area. The desorption area represents the region with a low water-gas ratio, where the pressure squared (P2) approach is applied for flow modelling. The non-desorption area represents the region with a high water-gas ratio with almost no desorption effect, where Darcy's equation (P approach) is used for flow modelling.The results indicate that previous models, in which either uniform desorption or no desorption was assumed, cannot reflect the correct stress distribution in coalbed and accordingly overestimate or underestimate permeability, respectively. This is attributed to neglecting the varying desorption radius. The results demonstrate that this has a significant effect on stress distribution. The proposed model gives a more realistic evaluation of stress distribution and permeability as it only considers the effect of matrix shrinkage in the desorption area.
机译：煤渗透性依赖性依赖性和变化在天然气生产过程中。在以前的研究中，对解吸半径的影响并对解吸半径的影响进行了较少的关注，并且其扩张对应力分布和渗透性变化。在这项工作中，开发了一种数学模型，以分析动态应力分布，并通过耦合夹板系统中的地质力学，吸附和流体流动来分析动态应力分布和相应的渗透性。在这种方法中，煤层分为两个区域：解吸区域和非解吸区域。解吸区域表示具有低水气比的区域，其中压力平方（P2）方法被应用于流动建模。非解吸区域代表具有高水 - 气体比的区域，几乎没有解吸效果，其中达西公式（P方法）用于流动型。结果表明之前的模型，其中均匀解吸或未解吸假设，不能反映煤层中的正确应力分布，并相应地高估或低估渗透率。这归因于忽略不同的解吸半径。结果表明，这对压力分布具有显着影响。所提出的模型提供了对应力分布和渗透率的更现实的评估，因为它仅考虑了解到解吸区域中的基质收缩的影响。

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