基于精确偏导计算的高精度叠前反演方法
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摘要
针对应用Zoeppritz方程近似式计算偏导方程的叠前反演方法误差大、精度低的问题,开展了叠前高精度反演方法研究。直接从Zoeppritz解析方程中进行偏导计算,可以得到纵横波反射系数对上下地层纵横波速度及密度的精确偏导方程。通过偏导为零的值进行分离减少变量,实现了基于Zoeppritz方程反射系数梯度矩阵的精确构建,形成了基于Zoeppritz方程精确偏导计算的叠前反演方法;并利用模型和实际资料对方法进行了验证,对于地层弹性参数反演计算精度和效率都得到明显提高。
The normal prestack inversion methods have big error and low accuracy,which using the partial derivative equations deduction from the simplification of Zoeppritz equation. Accurate partial derivative equations of reflection coefficient are directly calculated from Zoeppritz equation,zero values are isolated to reduce the variables.FinalLy accurate gradient matrix equation of reflection coefficient and high accurate prestack inversion method are established. Verificationg by model and actual data show that the new method has high accuracy.
The normal prestack inversion methods have big error and low accuracy,which using the partial derivative equations deduction from the simplification of Zoeppritz equation. Accurate partial derivative equations of reflection coefficient are directly calculated from Zoeppritz equation,zero values are isolated to reduce the variables.FinalLy accurate gradient matrix equation of reflection coefficient and high accurate prestack inversion method are established. Verificationg by model and actual data show that the new method has high accuracy.
引文
1 Bortfeld R.Approximations to the reflection andtransmission coefficients of plane longitudinal and transverse wave.Geophys Prosp,1961;(4):485—502
2 Aki K I,Richards P G.Quantitative seismology.W.H.Freeman and Co,1980:153—154
3 Shuey,R T.A simplification of the Zoeppritz equations.Geophysics,1985;50(5):609—614
4 孟宪军,刘福平.地震反射系数的相角变化.石油地球物理勘探,2010;45(Z):121—124Men X J,Liu F P.The phase angle change for seismic reflection coefficient.Oil Geophysical Prospecting,2010;45(Z):121—124
5 刘福平,孟宪军.反演纵横波速度的Jacobian矩阵及精确计算方法.中国科学:地球科学,2010;40(11):1608—1616Liu F P,Men X J.Jacobian matrix for the inversion of P-and S-wave velocities and its accurate computation method.Sci China Earhth Sci,2010;40(11):1608—1616
6 Wang Yumei,Wang Xiping.Prestack inversion of wide incident angle seismic data.San Antonio:The SEGAnnual Meeting,2011:2507—2511
2 Aki K I,Richards P G.Quantitative seismology.W.H.Freeman and Co,1980:153—154
3 Shuey,R T.A simplification of the Zoeppritz equations.Geophysics,1985;50(5):609—614
4 孟宪军,刘福平.地震反射系数的相角变化.石油地球物理勘探,2010;45(Z):121—124Men X J,Liu F P.The phase angle change for seismic reflection coefficient.Oil Geophysical Prospecting,2010;45(Z):121—124
5 刘福平,孟宪军.反演纵横波速度的Jacobian矩阵及精确计算方法.中国科学:地球科学,2010;40(11):1608—1616Liu F P,Men X J.Jacobian matrix for the inversion of P-and S-wave velocities and its accurate computation method.Sci China Earhth Sci,2010;40(11):1608—1616
6 Wang Yumei,Wang Xiping.Prestack inversion of wide incident angle seismic data.San Antonio:The SEGAnnual Meeting,2011:2507—2511