A physically simple method is suggested to measure the permeability of porous reservoirs on the basis of resonance radial oscillations of borehole fluid. The interfacial velocity difference between the porous solid and the fluid is highly sensitive to the permeability of the formation outside the borehole at the resonance frequency. Thus, the permeability can be inferred from the instrumentally measured velocity difference. The instrumental measurements have technological limitations due to the finite size of the source. The two-velocity acoustic data from saturated porous media can be processed using the high-performance and high-order accurate WENO/Runge–Kutta 2D finite-difference scheme.