西南石油大学学报(自然科学版) ›› 2018, Vol. 40 ›› Issue (6): 106-114.DOI: 10.11885/j.issn.1674-5086.2018.03.22.01

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A Model of Wells Testing in Fractured Gas Reservoirs Based on Tree Fractal Network

ZHANG Benjian1,2, CAO Jian2, DENG Qingyuan2, LI Xucheng2, WANG Yufeng2   

  1. 1. School of Geoscience and Technology, Southwest Petroleum University, Chengdu, Sichuan 610500, China;
    2. Sichuan Northwest Gas Mine of Southwest Oil and Gas Field Branch, PetroChina, Jiangyou, Sichuan 621700, China
  • Received:2018-03-22 Online:2018-12-01 Published:2018-12-01

Abstract: To resolve the seepage issue in testing wells in fractured gas reservoirs, we simulated the fractured gas reservoir system using the tree fractal system, considering the superiority of this method in simulating radial flow. The tree fractal network is embedded in the gas reservoir and a model of a testing well in a fractured gas reservoir is proposed based on the tree fractal network. Furthermore, we calculated the characteristic curves of flow dynamics in the testing well model and analyzed the effect of length ratio, diameter ratio, bifurcation angle, total number of bifurcations, and number of bifurcations on the dynamic characteristics of pseudo-pressure. The length ratio, bifurcation angle, and number of bifurcations have a major influence on the particular part of dynamic characteristic curve where the fluid from the matrix system flows to the fracture system; the total number of bifurcations primarily affects the radial flow in the entire system; and the diameter ratio has a major impact on all stages, except for the storage stage in the wellbore. The results demonstrate that the tree fractal network can provide satisfactory simulation of the seepage characteristics of fractured gas reservoirs.

Key words: well testing, fractured gas reservoir, tree fractal network, seepage, pseudo-pressure

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