Deghosting with adaptive operators
AssigneeWesternGeco L.L.C.
InventorsJames E. Rickett, Dirk-Jan van Manen
Life of this patent
Estimating the term…
Abstract
Methods and apparatuses for processing marine seismic data with a process of combined deghosting and sparse τ-p transformation. The process is formulated as an optimization problem. The optimization problem has an objective function that is a weighted sum of two norms: one norm is an Lp norm of the differences between the modeled data and acquired survey wherein the modeled data are derived from a model and a set of adaptive filters; the other norm is an Lq norm of the model; and the optimization variables and solutions are the coefficients of the model and coefficients of the adaptive filters.
Claims20
A computer implemented method for processing marine seismic data with combined deghosting and sparse i-p transformation, the method comprising:
- (a) having marine seismic data dtx in a time-offset (t-x) domain;
- (b) having a model x comprising a set of coefficients of basis functions;
- (c) having a set of adaptive filters Cf comprising a set of coefficients of filters;
- (d) computing differences between synthesized data and the marine seismic data dtx, wherein the synthesized data is derived from the model x and the set of adaptive filters Cf;
- (e) setting up and solving an optimization problem, wherein:
- an objective function is a weighted sum of two norms;
- a first norm is an Lp norm of the differences;
- a second norm is an Lq norm of the model x;
- the variables and solutions are coefficients of the model x and coefficients of filters Cf;
- and
- p and q are non-negative numbers;
- (f) using the solutions of the coefficients of model x and the coefficients of filters Cf to derive a deghosted wavefield;
- and
- (g) processing the deghosted wavefield to generate an image of the Earth subsurface structures.
A data processing system for processing seismic data with adaptive operators, the system comprising:
- at least one processor and at least one computer readable storage wherein:
- the computer readable storage comprises computer executable instructions, which when executed by the processor, causes the controller to:
- (a) access marine seismic data dtx in time-offset (t-x) domain;
- (b) access a model x having a set of coefficients of basis functions;
- (c) access a set of adaptive filters Cf having a set of coefficients of filters;
- (d) compute differences between synthesized data and the data dtx, wherein the synthesized data is derived from the model x and adaptive filters Cf;
- (e) set up and solve an optimization problem, wherein:
- an objective function is a weighted sum of two norms;
- a first norm is an Lp norm of the differences;
- a second norm is an Lq norm of the model x;
- the variables and solutions are coefficients of model x and coefficients of filters Cf;
- and
- p and q are non-negative numbers;
- (f) use the solutions of the coefficients of model x and coefficients of filters Cf to derive a deghosted wavefield;
- and
- (g) process the deghosted wavefield to generate an image of the Earth subsurface structures.
Dependencies are inferred from the claim text.