New regularized algorithms based on the spectral method for solving deformable layer tomography

作者：Xu, Xiang; Chen, Wenbin^*; Chen, Qi-Fu; Cheng, Jin

来源：APPLICABLE ANALYSIS, 2015, 94(3): 506-523.

DOI：10.1080/00036811.2014.901504

• deformable layer tomography
• seismic tomography
• spectral method
• regularization methods
• 65N35
• 65J20
• 65F22

The deformable layer tomography (DLT) is now a popular way to characterize the unknown geometry of the velocity interface by using the traveling time observed in data, which is difficult to solve accurately, because of the strong ill-posedness. In this paper, new regularization approaches based on the spectral method are introduced, which can invert the velocity value and the geometry of the interface simultaneously. The unknown interfaces are parameterized by Legendre spectral expansion, and various regularization methods combined with traditional regularization parameters selections are utilized to solve the ill-conditioned algebraic equation system. Moreover, a regularized algorithm with prior choice of regularization parameters is proposed to solve the DLT.

• 出版日期2015-3-4
• 单位复旦大学; 浙江大学; 中国科学院地质与地球物理研究所; 中国科学院地质与地球物理研究所兰州油气资源研究中心