When a P wave compresses in situ rocks saturated with fluid, there is a fluid pressure differential between compliant joints and stiff matrix. The pressure differential automatically drives a mesoscale squirt between joint wall and matrix interior. This mechanism is likely to dominate sonic P-wave attenuation in the field. A new model of P-wave attenuation is established based on mesoscale squirt, in which the first porosity is represented by matrix pores, and the second porosity is represented by joints. The sonic log of a sandstone reservoir in Saudi Arabia is used to illustrate the model. Estimated phase velocity and measured quality factor of sonic P waves are accurately simulated. The results indicate that for the sandstone reservoir, the relative second porosity is 5%, the interjoint distance is 0.1 m, the squirt permeability at very low frequencies is approximately half of the Darcy permeability of the matrix, and the joint gap is 800 μm (quadruple grain diameter of 200 μm). Surprisingly, the model of joint-matrix squirt also is capable of reproducing seismic P-wave attenuation measured in the shallow crust of southern California. Therefore, mesoscale squirt across the joint wall may be the underlying mechanism of attenuation for sonic and seismic P waves shallower than 10 km.
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