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Semianalytical Modeling of Complex-Geometry Reservoirs

机译：复杂几何储层的半解析建模

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Complex geometry reservoirs can be encountered in the field for a variety of depositional and tectonic processes. For example, fluvial depositional environments may produce interbranching channel reservoirs or reservoirs consisting of relatively high-permeability channels in communication with low-permeability splays. This paper presents a general methodology for computing pressure responses and flow characteristics in complex geometry reservoirs. The proposed method consists of decomposing the original complex-geometry reservoir into a set of simple-geometry reservoirs, which interact with each other by transfer of fluid and equality of pressure over the regions where they are in hydraulic contact. Analytical solutions are written for each of the simple reservoir components in terms of the unknown pressures and fluxes at their boundaries, and the coupled systems are solved for the desired wellbore pressure responses. The method of sources and sinks is used to compute the pressure response in the Laplace domain, and the results are inverted numerically with the Stehfest Inversion algorithm. We present fast, accurate methods of taking numerical Laplace transforms of the source/sink solutions that make the computations reasonably fast and efficient. The proposed methodology can be extended to any system (infinite or bounded) in which the Laplace-space solution can be written easily in terms of integrals of real-space source/sink functions, including production at constant bottomhole pressure, well-bore storage effects, or naturally fractured systems. We demonstrate the applicability of the method by modeling branching channels and channel/splay systems.
机译：对于各种沉积和构造过程，在现场可能会遇到复杂的几何形状储层。例如，河流沉积环境可能产生分支间通道储集层或由相对高渗透率通道组成的储集层，并与低渗透率张开连通。本文提出了一种用于计算复杂几何储层中压力响应和流动特征的通用方法。所提出的方法包括将原始的复杂几何形状的储层分解为一组简单几何的储层，这些简单的储层通过流体的转移和在它们液压接触的区域上的压力相等而彼此相互作用。针对每个简单储层组分在边界处的未知压力和通量，编写了解析解，并针对所需的井眼压力响应求解了耦合系统。使用源和汇的方法来计算拉普拉斯域中的压力响应，并使用Stehfest反演算法对结果进行数值反演。我们提出了快速，准确的方法来对源/汇解决方案进行数值拉普拉斯变换，从而使计算合理，快速，高效。所提出的方法可以扩展到任何系统（无限或有界），在该系统中可以轻松地根据实空间源/汇函数的积分来编写拉普拉斯空间解决方案，包括在恒定的井底压力下生产，井筒存储效应或自然断裂的系统。我们通过对分支通道和通道/播放系统建模来证明该方法的适用性。

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