论文标题
分数流程方程。油井中压力不足的模型
Fractional flow equations. A model for pressure deficit in an oil well
论文作者
论文摘要
本文介绍了一种新型的流动方程系统，该系统模拟了被认为是由岩石基质，含量介质和断裂形成的三重连续培养基的储层的压力不足。在非规定的储层中，由于流体与培养基的相互作用引起的物理和化学现象，流体颗粒的速度发生了变化，该行为被定义为异常。可以通过包含记忆形式主义概念来获得更精确的模型，该概念可以通过使用分数衍生物来表达。使用Caputo分数衍生物和贝塞尔函数的拉普拉斯变换，在拉普拉斯空间中达到了半分析溶液。
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.
