An Approximate Inverse to the Extended Born Modeling Operator

نویسندگان

  • Jie Hou
  • William W. Symes
چکیده

We modify RTM to create an approximate inverse to the extended Born modeling operator in 2D. The derivation uses asymptotic ray theory and stationary phase principle, but the result applies directly to RTM. The inverse operator differs from the adjoint operator only by application of several explicit velocity-independent filters. This inverse operator, on the one hand, can be used as true amplitude migration (in the asymptotic sense). On the other hand, it can be used as preconditioner to speed up the iterations of Least-Squares Migration and Full Waveform Inversion.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Preconditioned 3D Least-Squares RTM with Non-Stationary Matching Filters

I approximate the inverse Hessian (L′L)−1, where L is a Born modeling operator and L′ is the corresponding adjoint RTM operator, with non-stationary matching filters. These non-stationary filters can be seen as a low-rank approximation of the true inverse Hessian. For 3D least-squares imaging, I use these matching filters to precondition the inversion of prestack seismic data and observe a sign...

متن کامل

Fast 3D Least-Squares RTM by Preconditioning with Non-Stationary Matching Filters

I approximate the inverse Hessian (L′L)−1, where L is a Born modeling operator and L′ is the corresponding adjoint RTM operator, with non-stationary matching filters. These non-stationary filters can be seen as a low-rank approximation of the true inverse Hessian. For 3D least-squares imaging, I use these matching filters to precondition the inversion of prestack seismic data and observe a sign...

متن کامل

Iterative extended Born approximation based on CG-FFT integral equation method for low-frequency 3D modeling

We present a fast method for modeling three-dimensional low frequency controlled source electro-magnetic (CSEM) problems. We apply the method to the marine controlled source electromagnetic (MCSEM) exploration situation where conductivity and permittivity are different from the known background medium. For 3D problems fast computational methods are relevant for both forward and inverse modeling...

متن کامل

Parameter determination in a parabolic inverse problem in general dimensions

It is well known that the parabolic partial differential equations in two or more space dimensions with overspecified boundary data, feature in the mathematical modeling of many phenomena. In this article, an inverse problem of determining an unknown time-dependent source term of a parabolic equation in general dimensions is considered. Employing some transformations, we change the inverse prob...

متن کامل

On‎ ‎inverse problem for singular Sturm-Liouville operator with‎ ‎discontinuity conditions

‎In this study‎, ‎properties of spectral characteristic are investigated for‎ ‎singular Sturm-Liouville operators in the case where an eigen‎ ‎parameter not only appears in the differential equation but is‎ ‎also linearly contained in the jump conditions‎. ‎Also Weyl function‎ ‎for considering operator has been defined and the theorems which‎ ‎related to uniqueness of solution of inverse proble...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014