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首页> 外文期刊>Applied Mechanics and Engineering >APPROXIMATE ANALYTICAL SOLUTIONS TO THERMO-PORO-ELASTIC EQUATIONS
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APPROXIMATE ANALYTICAL SOLUTIONS TO THERMO-PORO-ELASTIC EQUATIONS

机译：热-弹性-弹性方程的近似解析解

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摘要

Thermo-poro-elastic equations describing the pressure and temperature diffusion from a deep layer of high temperature and pressure to a fluid saturated porous permeable layer are considered. The coupled partial differential system is transformed into an ordinary differential system via similarity transformations. Approximate analytical solutions to the ordinary differential system are found using perturbation methods and the criteria for validity of the solutions are established. Series solutions of the ordinary differential system are also given. Perturbation solutions and series solutions are contrasted with numerical solutions. When the criteria are met, perturbation solutions and numerical solutions are in good agreement. In contrast, the series solutions have a limited range of applicability.
机译：考虑了热孔隙弹性方程，该方程描述了从高温高压的深层到流体饱和的多孔渗透层的压力和温度扩散。通过相似变换将耦合的偏微分系统转换成普通的微分系统。使用微扰方法找到了对常微分系统的近似解析解，并建立了该解的有效性标准。还给出了普通差分系统的级数解。将摄动解和级数解与数值解进行对比。当满足标准时，摄动解和数值解就很好地吻合了。相反，系列解决方案的适用范围有限。

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