Pre-stack full wavefield inversion for elastic parameters of TI media

Pre-stack full wavefield inversion for elastic parameters of TI media
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TI介质弹性参数叠前全波场反演

DOI:
10.1088/1742-2132/3/1/010
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发表时间:
2006-03
影响因子:
1.4
通讯作者:
--
中科院分区:
地球科学4区
文献类型:
--
作者:

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实现了横向各向同性介质弹性参数的叠前全波场反演。与全波场正演模拟一样,雅可比矩阵直接用有限元法导出。在正演和雅可比矩阵计算中,采用了一种将Liao透明边界条件和Sarma衰减边界条件相结合的吸收边界格式。输入数据是完整的地面记录波场,包含地震波的全部运动学和动力学信息。用这样的数据进行反演是可取的,因为它应提高估计参数的精度,并减少数据预处理,如波场识别和分离。针对输入数据中不同波至间能量差异较大而引起的不稳定性,提出了能量分级反演方法。该方法使浅层介质中主要影响能量较强的波型的参数先于深层介质中的参数收敛。从而减少了每一步反演中的未知数,大大提高了反演过程的稳定性和可靠性。结果表明,该格式有助于减少反演中的非唯一性。两个合成实例表明,即使初始模型与实际模型存在较大偏差,反演系统也是可靠和准确的。此外,该系统可以准确地反演横观各向同性模型参数,即使在强随机噪声的引入。
Pre-stack full wavefield inversion for the elastic parameters of transversely isotropical media is implemented. The Jacobian matrix is derived directly with the finite element method, just like the full wavefield forward modelling. An absorbing boundary scheme combining Liao's transparent boundary condition with Sarma's attenuation boundary condition is applied to the forward modelling and Jacobian calculation. The input data are the complete ground-recorded wavefields containing full kinematic and dynamic information for the seismic waves. Inversion with such data is desirable as it should improve the accuracy of the estimated parameters and also reduce data pre-processing, such as wavefield identification and separation. A scheme called energy grading inversion is presented to deal with the instability caused by the large energy difference between different arrivals in the input data. With this method, parameters in the shallow areas, which mainly affect wave patterns with strong energy, converge before those of deeper media. Thus, the number of unknowns in each inversion step is reduced, and the stability and reliability of the inversion process is greatly improved. As a result, the scheme is helpful to reduce the non-uniqueness in the inversion. Two synthetic examples show that the inversion system is reliable and accurate even though initial models deviate significantly from the actual models. Also, the system can accurately invert for transversely isotropic model parameters even with the introduction of strong random noise.
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