As a result of advancements in gas reservoir development technologies and a deeper understanding of seepage theory, numerous nonlinear seepage problems have emerged. Consequently, conventional analytical solution models are no longer applicable. Moreover, existing semi-analytical and numerical solution models suffer from issues like high computational complexity and limited flexibility, significantly constraining their practical utility. For this purpose, a gas reservoir transient seepage model is established based on the dual-reciprocity boundary element method (DRBEM). This model couples the wellbore storage coefficients with skin factor and introduces a novel dual-porosity transient interporosity seepage algorithm, enabling the resolution of transient seepage problems in dual-porosity gas reservoirs with nonlinear point source distributions. Additionally, it investigates the dynamic behavior of bottomhole pressure during the early production stage of gas wells, while capturing the dynamic pressure distribution within the seepage field. This approach offers the advantages of semi-analyticity, meshless, and eliminates the need for Laplace transforms, resulting in a significant reduction in computational complexity. Ultimately, the application of our model to well-pattern production with the production system transition issues, in conjunction with the log-log type curves of bottomhole pressure, and the dynamics of gas reservoir pressure, enables the analysis of interference characteristics between injection-production wells. This showcases the practical advantages of the model's application. The findings of this study provide valuable assistance for modeling and solving transient seepage problems in dual-porosity oil and gas reservoirs production. The application of DRBEM in unsteady-state diffusion, heat conduction, stress fields, and other potential field problems is relevant for reference.

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基于双互易边界元法的非线性分布式点源双孔隙气藏瞬态渗流模型

随着气藏开发技术的进步和对渗流理论的深入理解，出现了大量的非线性渗流问题。因此，传统的解析解模型不再适用。此外，现有的半解析和数值求解模型存在计算复杂度高和灵活性有限等问题，严重限制了其实际应用。为此，基于双互易边界元法（DRBEM）建立了气藏瞬态渗流模型。该模型将井筒储水系数与表皮因子耦合，引入了一种新颖的双孔隙瞬态间渗渗算法，能够解决具有非线性点源分布的双孔隙气藏瞬态渗流问题。此外，它还研究了气井早期生产阶段井底压力的动态行为，同时捕获渗流场内的动态压力分布。这种方法具有半解析性、无网格的优点，并且无需拉普拉斯变换，从而显着降低了计算复杂性。最终，将我们的模型应用于具有生产系统转换问题的井网生产，结合井底压力双对数型曲线和气藏压力动态，可以分析注采之间的干扰特征井。这展示了该模型应用的实际优势。这项研究的结果为模拟和解决双孔隙油气藏生产中的瞬态渗流问题提供了宝贵的帮助。 DRBEM在非稳态扩散、热传导、应力场等势场问题中的应用具有一定的参考价值。