Numerical investigation of dual-porosity model with transient transfer function based on discrete-fracture model

doi:10.1007/s10483-016-2075-8

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (5): 611-626.doi: https://doi.org/10.1007/s10483-016-2075-8

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Numerical investigation of dual-porosity model with transient transfer function based on discrete-fracture model

Yizhao WAN¹, Yuewu LIU¹, Weiping OUYANG², Guofeng HAN¹, Wenchao LIU¹

1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. Changqing Downhole Technology Company, Chuanqing Drilling Engineering Company Limited, China National Petroleum Corporation, Xi'an 710018, China

Received:2015-03-27 Revised:2015-11-22 Online:2016-05-01 Published:2016-05-01
Contact: Yuewu LIU E-mail:lywu@imech.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 5140232), the National Science and Technology Major Project (No. 2011ZX05038003), and the China Postdoctoral Science Foundation (No. 2014M561074)

Abstract

Abstract:

Based on the characteristics of fractures in naturally fractured reservoir and a discrete-fracture model, a fracture network numerical well test model is developed. Bottom hole pressure response curves and the pressure field are obtained by solving the model equations with the finite-element method. By analyzing bottom hole pressure curves and the fluid flow in the pressure field, seven flow stages can be recognized on the curves. An upscaling method is developed to compare with the dual-porosity model (DPM). The comparisons results show that the DPM overestimates the inter-porosity coefficient λ and the storage factor ω. The analysis results show that fracture conductivity plays a leading role in the fluid flow. Matrix permeability influences the beginning time of flow from the matrix to fractures. Fractures density is another important parameter controlling the flow. The fracture linear flow is hidden under the large fracture density. The pressure propagation is slower in the direction of larger fracture density.

Key words: dual-porosity model (DPM), finite-element method, discrete-fracture model, fracture network, upscaling, numerical well test

2010 MSC Number:

76S05
74S05

Yizhao WAN, Yuewu LIU, Weiping OUYANG, Guofeng HAN, Wenchao LIU. Numerical investigation of dual-porosity model with transient transfer function based on discrete-fracture model. Applied Mathematics and Mechanics (English Edition), 2016, 37(5): 611-626.

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References

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Numerical investigation of dual-porosity model with transient transfer function based on discrete-fracture model

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