Abstract For the variety pore shape,the multi-scale pore space and the complex pore distribution in carbonate,The characteristics of the pore and hole structure can?t be obtained with the velocity of primary wave,which is the result along the path of the maximum wave impedance. Based on the wave theory and finite difference method,Numerical simulation of ultrasonic transmission has been achieved. And the relation between attenuation factor and the pore shape,size,distribution and density has been studied. According to the study,the conclusion is as follows:(1) Attenuation factor was significantly influence the pore shape,pore size,pore distribution and pore density. And the effect of pore density on the attenuation factor is the most significant. And the pore shape and distribution have less influence on attenuation factor. (2) Whether in the vertical direction or parallel to the propagation direction,pore size have significant influence on the attenuation. And the pore size which perpendicular to the direction of propagation have more influence. (3) For certain frequency vibration source,there is the critical pore size. If the pore size is bigger than the critical size,the changes of pore size cannot be analyzed by the attenuation coefficient. (4) The relationship between attenuation coefficient and pore size,porosity with different pore shapes was expressed as power function with better correlation.
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