Seismic data are commonly modeled by a high-frequency single scattering approximation. In this paper we use methods from microlocal analysis and the theory of Fourier integral operators to study continuation of the seismic wavefield in this single scattering approximation. This amounts to a linearization in the medium coefficient about a smooth background. The discontinuities are contained in the medium perturbation. We use the smooth background to derive the continuation as the composition of imaging, modeling and restriction operators
Seismic imaging in geologically complex areas, such as sub-salt or attenuating areas, has been one o...
AbstractA nonlinear singularity-preserving solution to seismic image recovery with sparseness and co...
International audienceThe Earth is an heterogeneous complex media from the mineral composition scale...
Abstract: In reflection seismology one places sources and receivers on the Earth’s surface. The sour...
Reflection seismic data continuation is the computation of data at source and receiver locations tha...
Seismic data are commonly modeled by a high-frequency single scattering approximation. This amounts ...
In this paper we use methods from partial differential equations, in particular microlocal analysis ...
ABSTRACT. In this paper we use methods from partial differential equations, in particular microlocal...
In this thesis we investigate some mathematical questions related to the inversion of seismic data. ...
The goal of reflection seismic imaging is making images of the Earth subsurface using surface measur...
An angle-dependent reflection coefficient is recovered by seismic migration in the angle domain. We ...
We consider a linearized inverse problem, arising in offshore seismic exploration, for an isotropic ...
The forward scattering series is an important and useful tool in constructing perturbative solutions...
In memory of our dear friend Sergey Vasilievich Goldin In reflection seismology one places point sou...
In seismic data analysis, recorded data often are transformed to various domains to discriminate ag...
Seismic imaging in geologically complex areas, such as sub-salt or attenuating areas, has been one o...
AbstractA nonlinear singularity-preserving solution to seismic image recovery with sparseness and co...
International audienceThe Earth is an heterogeneous complex media from the mineral composition scale...
Abstract: In reflection seismology one places sources and receivers on the Earth’s surface. The sour...
Reflection seismic data continuation is the computation of data at source and receiver locations tha...
Seismic data are commonly modeled by a high-frequency single scattering approximation. This amounts ...
In this paper we use methods from partial differential equations, in particular microlocal analysis ...
ABSTRACT. In this paper we use methods from partial differential equations, in particular microlocal...
In this thesis we investigate some mathematical questions related to the inversion of seismic data. ...
The goal of reflection seismic imaging is making images of the Earth subsurface using surface measur...
An angle-dependent reflection coefficient is recovered by seismic migration in the angle domain. We ...
We consider a linearized inverse problem, arising in offshore seismic exploration, for an isotropic ...
The forward scattering series is an important and useful tool in constructing perturbative solutions...
In memory of our dear friend Sergey Vasilievich Goldin In reflection seismology one places point sou...
In seismic data analysis, recorded data often are transformed to various domains to discriminate ag...
Seismic imaging in geologically complex areas, such as sub-salt or attenuating areas, has been one o...
AbstractA nonlinear singularity-preserving solution to seismic image recovery with sparseness and co...
International audienceThe Earth is an heterogeneous complex media from the mineral composition scale...