Illumination Compensation for Wave Equation Migration Shadow

Least‐squares migration is a linear seismic inversion method which is established based on the linear relationship between seismic reflection data and underground reflection. Compared with conventional imaging technique, it has better performance in preserving amplitude. This paper presents an one‐way wave equation least‐squares migration based on illumination compensation. Firstly, we use the stable Born approximation generalized screen one‐way wave‐field propagator to construct the linear operator between reflected seismic data and underground reflection. Then we use the linear optimization method to solve the linear inverse problem of the least‐squares migration. In the process of solving the optimization problems iteratively, we employ the seismic wave illumination as a preconditioned operator of the iterative inversion, so as to accelerate the convergence of iteration. During the one‐way wave propagation, we consider the transmission effect arising from velocity interface, and substitute monopole source for the dipole source in conventional migration. Applying the method proposed in this paper to the layered theory model and the Marmosi model achieved ideal results.

Section: Basic Theory Of Lsmmentioning

confidence: 99%

Section: Illumination Preconditioned Generalized Screen Propagator Lementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

One‐Way Wave Equation Least‐Squares Migration Based on Illumination Compensation

Zhou

Chen

Ren

et al. 2014

“…The Kirchhoff integral migration includes general ray Kirchhoff integral method (French, 1974;Schneider, 1978;Sun, 2000) and Gaussian beam Kirchhoff method (Cerveny, 1982;Costa, 1989;Hill, 1990). Differential equation migration includes one-way wave equation method based on wavefield decomposition (Gazdag, 1978;Berkhout, 1979;Huang, 1996;Ristow, 1994;Chen, 2006;Chen, 2007) and full waveform equation method (Hemon, 1978;McMechan, 1983;Baysal, 1983;Whitmore, 1983).…”

Section: Introductionmentioning

confidence: 99%

Re‐Exploration into Migration of Seismic Data

Chen

Hua‐Ming

2016

The formula of migration of seismic data is re‐derived by using the forward propagation equations of seismic waves, in which the migration of seismic data is viewed as an approximate solution to the linear waveform inverse problem, a scattering migration method suitable for scattering seismic data and a reflection migration method suitable for reflection seismic data are proposed. Based on the scattering theory of seismic wave propagation, firstly we study and establish the migration theory for scattering seismic data through the linear equation describing the forward propagation of primary scattering wave. A subsurface reflectivity function is derived by applying the high frequency approximation to the spatial variation of velocity perturbation function generating the scattering field, and a forward propagation equation of reflection wave using the reflectivity function is derived from the propagation equation of scattering wave, then we study and establish the migration theory for reflection seismic data through the linear equation describing the forward propagation of primary reflection wave. We pointed out and corrected the shortcomings in Claerbout's migration method. The migration method of seismic data introduced in this paper is an improvement to current migration technique and theory, and establishes a solid theoretical base of mathematical physics for the migration of reflection seismic data. The migration results from the new methods have correct phase, accurate position and improved resolution.

“…Rickett's method provided the theoretical frame for applying illumination to the regularization or normalization of migration imaging. Chen et al [9] proposed a method of using direction illumination for the compensation to wave equation migration shadows in the subsurface angle domain, based on the combination of the angle domain true amplitude migration method introduced by Wu et al [10,11] with method by Rickett, and achieved some effects, provided a practical scheme of employing the illumination result of seismic wave field as the approximation of the Hessian matrix in the least square migration/inversion. But the compensation method of subsurface imaging space in the local angle domain involves complex calculation and great computational amount, so is difficult effectively to apply to 3D migration compensation.…”

Section: Introductionmentioning

confidence: 99%

Migration Compensation with Plane Wave Illumination

Chen¹,

Wang²

2010

Self Cite

Due to the effects of complicated subsurface structures and seismic acquisition system limitations, the seismic wave illumination to some subsurface targets may be inhomogenous, hence some migration shadows will appear on these targets. Based on the least‐square migration/inversion theory of seismic data, and employing the illumination result of seismic wavefield as the approximation of the Hessian matrix in the least‐square migration/ inversion for the compensation to the migration imaging, an illumination compensation method for wave equation migration shadows is proposed by applying the plane wave illumination to the plane wave migration. This plane wave migration compensation method has the advantage of computational efficiency over the migration compensation method in the local angle domain of image space.