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US 10,705,233 B2Granted
Determining a component of a wave field
AssigneeStatoil Petroleum AS
InventorsSheng Xu, Hongbo Zhou
Life of this patent
Estimating the term…
Abstract
There is described embodiments relating to a method of determining a wave field in an anisotropic subsurface of the Earth. The method includes numerically solving a decoupled quasi-acoustic single wave mode wave equation based on spatially varied anisotropic parameters, to determine the wave field in the anisotropic subsurface.
Claims9
A computer-implemented method, comprising the steps of:
- determining a wave field in an anisotropic subsurface of the Earth so as to improve computational efficiency, comprising:
- numerically solving with a processor a decoupled quasi-acoustic single wave mode wave equation based on spatially varied anisotropic parameters, to determine the wave field in the anisotropic subsurface;
- and
- performing migration of seismic data using said wave field to provide an image of the subsurface,
- wherein the wave equation comprises a spatial differential operator,
- wherein all terms of the wave equation that contain one or more of the anisotropic parameters are separated out from the spatial differential operator, and
- wherein the wave equation comprises a scalar operator, and the step of solving the wave equation comprises using the anisotropic parameters and a gradient of a predetermined wave field to compute the scalar operator,
- wherein the wave equation has the form of
- ∂
- 2
-
- u
- ∂
- t
- 2
- =
- scalar
-
-
- ∇
- 2
-
- u
-
-
- or
-
-
- ∂
- 2
-
- u
- -
-
- ∂
- t
- 2
- =
- ∇
- ·
- (
- scalar
-
-
- ∇
- u
- )
- ,
- wherein u is the wave field and t is time.
46 more elements
Dependencies are inferred from the claim text.