分数阶流动方程。油井压力亏损的模型
Fractional flow equations. A model for pressure deficit in an oil well
AI总结：
本文提出一种基于分数阶导数的流动方程系统，用于模拟由岩石骨架、孔洞介质和裂缝构成的三重连续介质储层的压力亏损，并利用 Caputo 分数阶导数的 Laplace 变换和 Bessel 函数求得了 Laplace 空间中的半解析解。
摘要：
本文提出了一种新颖的流动方程系统，用于模拟被视为由岩石骨架、孔洞介质和裂缝组成的三重连续介质的储层的压力亏损。在非常规储层中，由于流体与介质的相互作用引起的物理和化学现象，流体粒子的速度发生改变，这种行为被定义为异常。通过引入记忆形式化概念，可以得到更精确的模型，该概念可通过使用分数阶导数来表达。利用 Caputo 分数阶导数的 Laplace 变换和 Bessel 函数，在 Laplace 空间中获得了半解析解。
英文摘要：
This article presents a novel system of flow equations that models the pressure deficit of a reservoir considered as a triple continuous medium formed by the rock matrix, vugular medium and fracture. In non-conventional reservoirs, the velocity of the fluid particles is altered due to physical and chemical phenomena caused by the interaction of the fluid with the medium, this behavior is defined as anomalous. A more exact model can be obtained with the inclusion of the memory formalism concept that can be expressed through the use of fractional derivatives. Using Laplace transform of the Caputo fractional derivative and Bessel functions, a semi-analytical solution is reached in the Laplace space.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
