Sorption/ Desorption Non-Darcy Mechanisms Role in Modeling Fluid Flow Through Unconventional Reservoirs

  • Hamda Khalfan Alkuwaiti

    Student thesis: Master's Thesis


    Modeling fluid flow in deficient porous media often ignores the desorption and diffusion forces assuming that viscous transport is the predominant controller. This thesis introduces a new model that addresses 1-D linear flow in tight unconventional reservoirs, which had been mathematically derived and numerically solved using MATLAB software and tested against a synthetic case study. The newly added diffusion-desorption term had been compared to existing models created by many authors to test its credibility in describing the targeted mechanisms. The proposed model is generated by utilizing Knudsen's and Langmuir's models. The new model has been numerically solved and analyzed using synthetic data. Additionally, the desorption model has been compared and analyzed against the diffusion model, Darcy's, and Forchheimer's equations. Additionally, a flow regime criterion has been constructed and defined with specific regimes' limitations for unconventional reservoirs under different conditions. By utilizing multiple iterations approach using Monte Carlo Simulation method, computation of the relevant Knudsen number for different types of the conventional and unconventional reservoir under various conditions, including pressure, permeability, porosity, pore throat radius, and gas molecule sizes (mainly, Methane, Ethane, and Carbon Dioxide) has been conducted, to construct the flow regime map. This flow regime criterion can indicate the flow regime for a certain reservoir based on permeability and pressure and their calculated Knudsen number, which helps in evaluating desorption governance to the fluid flow.
    Date of AwardApr 2022
    Original languageAmerican English


    • Unconventional Reservoirs
    • Desorption Forces
    • Fluid Flow Modeling
    • Flow Characterization.

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