We propose a mathematical model describing gas flow from a fractured shale reservoir into a horizontal well. Based on Langmuir adsorption theory and Darcy’s law, we have obtained a basic solution using a combination of a point source function, an integral of a Bessel’s function, and the Poisson summation formula. We plotted typical curves for the dimensionless pressure and its derivative on a log-log scale. We analyze the stages of gas flow from the shale formation to the horizontal well and the factors influencing it.
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Translated from Khimiya i Tekhnologiya Topliv i Masel, No. 2, pp. 65 – 70, March – April, 2016.
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Li, Cy., Zhou, J., Luo, Y. et al. Nonlinear Model for Gas Flow into a Horizontal Well from a Shale Reservoir with a Branched Fracture Network. Chem Technol Fuels Oils 52, 224–236 (2016). https://doi.org/10.1007/s10553-016-0694-1
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DOI: https://doi.org/10.1007/s10553-016-0694-1