Gas permeability measurement (lab measurement using Klinkenberg effect)

Input(s)

\(\mu\): Viscosity of Liquid Phase \((\mathrm{cP})\)

\(\mu_{\text {air }}\): Viscosity of Air \((\mathrm{cP})\)

\(\mu_{\mathrm{CO}_{2}}\): Viscosity of \(\mathrm{CO}_{2}(\mathrm{cP})\)

\(Q_{\text {avg }}\): Average Rate in Porous Media \(\left(\mathrm{cm}^{3} / \mathrm{s}\right)\)

\(P_{\text {avg }}\): Average Pressure in Porous Media (Atm)

L: Plug Length \((\mathrm{cm})\)

A: Open-Flow Area of the Plug \(\left(\mathrm{cm}^{2}\right)\)

\(P_{1}\): Inlet Pressure (Atm)

\(P_{2}\): Outlet Pressure (Atm)

\(V\): Liquid Volume that flows in time \(t\left(\mathrm{~cm}^{3}\right)\)

\(V_{1}\): Liquid Volume that flows at Inlet Part in Time \(t\left(\mathrm{~cm}^{3}\right)\)

\(V_{2}\): Liquid Volume that flows at Outlet Part in Time \(t\left(\mathrm{~cm}^{3}\right)\)

\(Q_{1}\): Liquid Rate that flows at Inlet Part \(\left(\mathrm{cm}^{3}\right)\)

\(Q_{2}\): Liquid Rate that flows at Outlet Part \(\left(\mathrm{cm}^{3}\right)\)

Output(s)

\(k\): Liquid Permeability (D)

\(k_{g}\): Gas Permeability (D)

Formula(s)

Reference(s)

Mihcakan, I.M., Alkan, K.H., Ugur, Z., Petroleum and Natural Gas Laboratory, Course Notes, II-Properties of Porous Media, ITU, Petroleum and Natural Gas Engineering, Istanbul, Turkey, 2001. Page: 3-4.