论文部分内容阅读
复杂几何形态的非均质油藏的压力过渡特征可以借助数值方法进行数学模拟。本文研究了边界元法对这类问题的可用性。自由空间Green函数满足Laplace空间的二维压力扩散方程，它在Green第二个恒等积分议程中用作加权函数。研究范围内的压力场因此被解析定义，仅油藏边界离散为许多边界元。大型油藏非均质性用均质岩石特征区间表示。流量均布型垂直裂缝通过在裂缝长度内线汇积分方法来进行模拟。本文还研究了将源和汇纳入模型的两种不同方法。模型应用于一些简单系统；其结果与已知的解析解做了比较。线性。二次和三次等参数边界元的性能都做了检验。
The pressure transient characteristics of heterogeneous reservoirs with complex geometries can be numerically simulated by numerical methods. This paper studies the availability of the boundary element method for such problems. The free space Green function satisfies the two-dimensional pressure dispersion equation in Laplace space and is used as a weighting function in Green’s second identity integral agenda. The pressure field in the study area is therefore analytically defined, with only the reservoir boundaries being discrete as a number of boundary elements. Large-scale reservoir heterogeneity is represented by a homogeneous rock characterization interval. Vertical distribution of flow rate Vertical cracks through the length of the sink within the integration method to simulate. This article also examines two different approaches to incorporating sources and sinks into the model. The model is applied to some simple systems; the results are compared with known analytical solutions. Linear. The performance of the second- and third-order parametric boundary elements are tested.