Transient flow model and pressure dynamic features of tree-shaped fractal reservoirs

• Published in: Journal of hydrodynamics. Series B Vol. 26; no. 4; pp. 654 - 663
• Main Author: 谭晓华 李晓平
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.08.2014; Springer Singapore
• Subjects: Engineering; Engineering Fluid Dynamics; Hydrology/Water Resources; naturally fractured reservoir; Numerical and Computational Physics; pressure dynamic characteristic; Simulation; transient flow; tree-shaped fractal; type curve; 分形油藏; 压力动态特征; 数值反演方法; 数学模型; 水库; 瞬变流模型; 矩阵系统; 裂缝性油藏; transient flow; pressure dynamic characteristic; naturally fractured reservoir; type curve; tree-shaped fractal
• ISSN: 1001-6058; 1878-0342
• DOI: 10.1016/S1001-6058(14)60072-X

A transient flow model of tree-shaped fractal reservoirs is built by embedding a fracture network simulated by a tree-shaped fractal network into a matrix system. The model can be solved using the Laplace conversion method. The dimensionless bottom hole pressure can be obtained using the Stehfest numerical inversion method. The bi-logarithmic type curves for the trce-shaped fractal reservoirs are thus obtained. The pressure transient responses under different fractal factors are discussed. The factors with a primary effect on the inter-porosity flow regime include the initial branch number N, the length ratio α, and the branch angle θ. The diameter ratio β has a significant effect on the fracture radial flow, the inter-porosity and the total system radial flow regimes. The total branch level M of the network mainly influences the total system radial flow regime. The model presented in this paper provides a new methodology for analyzing and predicting the pressure dynamic characteristics of naturally fractured reservoirs.