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| | Abstract | | Under the quasi-static compression of the water-saturated porous media, the squeezed-out water from the pore space of the framework represents the crack generation. The crack space is distinguished from the pore space in the porous media. We refer the field equation of zeta to the crack equation. The zeta equation are derived from the basic coupled equation of the fluid stress field of the porous media. The zeta equation is the inhomogeneous diffusion equation driven by the pore-water pressure change, or driven by the porosity change. The zeta equation in which zeta is the single variable, is an inhomogeneous bi-harmonic equation. The speed of crack migration, given by the periodic solution of the homogeneous diffusion equation, is dispersive. The lower the frequency is, the lower is the speed. |
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