Numerical Investigation of the Structure of Fracture Network Impact on Interwell Conductivity

IF 0.8 Q2 MATHEMATICS
D. Yu. Legostaev, S. P. Rodionov
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引用次数: 0

Abstract

We consider two-dimensional single-phase fluid flow of an incompressible fluid in a fractured porous medium, which is located inside a square computational domain. The fractures had a random position and orientation, and the fracture length distribution follows a power law. Fracture networks are simulated using the discrete-fracture model. Calculations were performed for fracture network realizations created by multiple random generations. Fluid flows between opposite boundaries of the computational domain (line source and sink) and between vertical wells (point source and sink) are considered. The influence of the type of source and sink on the percolation probability is determined. The dependence of the flow rate between production and injection wells on the fracture network structure was investigated. The flow between the opposite boundaries of the computational domain is considered. For this case, the numerical dependence of the equivalent permeability of the fractured porous medium on the percolation parameter was approximated by an analytical piecewise function. This approximation was used to estimate fluid flow rates between vertical wells.

Abstract Image

裂缝网络结构对井间导通性影响的数值研究
摘要 我们考虑了不可压缩流体在断裂多孔介质中的二维单相流。裂缝的位置和方向随机,裂缝长度分布遵循幂律。采用离散断裂模型模拟断裂网络。计算是针对多代随机生成的断裂网络进行的。考虑了计算域相对边界(线状源和汇)之间以及垂直井(点状源和汇)之间的流体流动。确定了源和汇的类型对渗流概率的影响。研究了生产井和注水井之间的流量与裂缝网络结构的关系。考虑了计算域相对边界之间的流动。在这种情况下,裂缝多孔介质的等效渗透率对渗流参数的数值依赖性由一个解析的片断函数近似表示。该近似值用于估算垂直井之间的流体流速。
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来源期刊
CiteScore
1.50
自引率
42.90%
发文量
127
期刊介绍: Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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