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ANALYSIS ON UNSTEADY FLOW FOR POWER-LAW FLUIDS IN DUAL FRACTAL MEDIA

Volume 20, Issue 12, 2017, pp. 1071-1086
DOI: 10.1615/JPorMedia.v20.i12.20
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ABSTRACT

Power-law fluid flow in heterogeneous porous media is a common natural phenomenon and has received much attention over three decades in an extensive variety of fields. This paper establishes a transient flow model of dual fractal media created by embedding tree-shaped fractal networks into a fractal porous media. The physical and mathematical models for power-law unsteady flow in the dual fractal media are established and the mathematical model is solved using the Laplace transform and Stehfest numerical inversion method. Five flow regimes for pressure type curves can be established. Type curves are dominated by fracture, matrix fractal parameters, and fluid properties. The influences of different fractal factors and power-law fluid parameters on pressure transient responses are discussed. Different parameters have special influences on type curves. Based on good agreement between the predictions of the model and the well testing data obtained in the present work, we argue that the semianalytical dual fractal modeling is also suitable for heavy oil reservoirs and may provide a practical method to solve empirical cases. Power-law fluid flow in dual fractal media is an interesting and challenging topic, and this work is in process.

CITED BY
  1. Tan X.-H., Liu C.-Y., Li X.-P., Wang H.-Q., Deng H., A stress sensitivity model for the permeability of porous media based on bi-dispersed fractal theory, International Journal of Modern Physics C, 29, 02, 2018. Crossref

  2. GAO FENG, YANG XIAO-JUN, JU YANG, EXACT TRAVELING-WAVE SOLUTIONS FOR ONE-DIMENSIONAL MODIFIED KORTEWEG–DE VRIES EQUATION DEFINED ON CANTOR SETS, Fractals, 27, 01, 2019. Crossref

  3. Wang Fuyong, Cheng Hui, A fractal permeability model for 2D complex tortuous fractured porous media, Journal of Petroleum Science and Engineering, 188, 2020. Crossref

  4. Qi Sheng-Zhi, Tan Xiao-Hua, Li Xiao-Ping, Meng Zhan, Xu You-Jie, Tang Daming, Transient Pressure Analysis of Inclined Well in Continuous Triple-Porosity Reservoirs With Dual-Permeability Behavior, Frontiers in Energy Research, 8, 2020. Crossref

  5. Zhu Jianting, Flow of power-law fluid through fractal discrete fracture network, The European Physical Journal Plus, 135, 8, 2020. Crossref

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