Question regarding flow rate of water through a porous zone

kkanadekkanade Forum Coordinator Posts: 3,088

Hello Fluids Experts, 🤓

I am required to estimate the flow rate of water through a porous zone. I know the expected pressure drop and the permeability of the zone. Is it possible to get a theoretical estimate of the flow rate based on these variables?

Thank you in advance for your help

Comments

  • KremellaKremella Admin Posts: 2,332

    Hi @kkanade 🙂,

    Darcy's law provides a relationship for estimating the instantaneous flow rate through a homogeneous porous media of permeability K with a known pressure drop across its thickness.

    Mathematically,

    Q = K * A * del_P / (mu * L)

    Where,

    Q - flow rate [m^3/s]

    K - permeability [m^2]

    A - cross-sectional area [m^2]

    del_P - pressure drop [Pa]

    mu - dynamic viscosity [Pa-s]

    L - length across the porous media (thickness) [m]

    Hope this helps.

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