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依据全频域的Biot理论,推导了在Biot的流体饱和孔隙介质中,平面P波垂直井轴入时与井孔相互作用所产生的井内声压场的解析表达式.通过数值计算,对井内声压场出现的共振响应进行了分析.重点研究在不同频率段渗透率对井内声压的影响及偏离井轴记录时声压的变化.结果表明,在井内测量地震波声压,全频域都有明显影响;测量大于500HZ的地震信号,检波器偏离井轴放置以及方位不同的影响不能忽略;渗透率变化对井内声压的影响程度最大不超过弹性固体情况(零渗透率)下相应声压的1/5.
Based on the Biot theory in the full frequency domain, the analytic expression of well pressure field induced by the interaction between the P-wave vertical well axis and the wellbore in Biot fluid-saturated porous media is derived. Through numerical calculation, the resonance response of sound pressure field in well is analyzed. The focus is on the influence of permeability on well sound pressure at different frequency bands and the change of sound pressure when well deviation from well axis recording. The results show that sound pressure in the well is significantly affected in the whole frequency range. The measurement of earthquakes larger than 500 Hz can not be neglected because of the deviation of the geophone from well axis and azimuth. The influence of permeability on the sound pressure in the well is the greatest No more than 1/5 of the corresponding sound pressure under elastic solid conditions (zero permeability).