Constructing A Seismic Signal Using A Predicted Energy Distribution

Abstract

A technique includes processing seismic data indicative of samples of at least one measured seismic signal in a processor-based machine to determine basis functions that represent a constructed seismic signal based at least in part on a matching pursuit-based technique. The technique further includes basing the determination of the basis functions at least in part on a predicted energy distribution of the constructed seismic signal.

What is claimed is: 
     
         1 . A method comprising:
 processing seismic data indicative of samples of at least one measured seismic signal in a processor-based machine to determine basis functions that represent a constructed seismic signal based at least in part on a matching pursuit-based technique; and   basing the determination of the basis functions at least in part on a predicted energy distribution of the constructed seismic signal.   
     
     
         2 . The method of  claim 1 , wherein the samples are indicative of multiple channels comprising at least one or more of the following: acceleration measurements, particle velocity measurements, particle motion measurements and pressure measurements. 
     
     
         3 . The method of  claim 1 , wherein basing the determination of the basis functions comprises determining the basis functions based at least in part on an interpretation of a cost function interpreted based on the predicted energy distribution of the constructed seismic signal. 
     
     
         4 . The method of  claim 3 , wherein the cost function has a magnitude that has a plurality of minimums and the interpreting comprises selectively disregarding one or more of the minimums based on the predicted energy distribution of the constructed seismic signal. 
     
     
         5 . The method of  claim 3 , wherein the cost function is dependent on residual energy determined based on the samples, the current version of the constructed seismic signal and a wavenumber, and determining the basis functions comprises selecting a wavenumber value for at least one of the basis functions. 
     
     
         6 . The method of  claim 1 , wherein the predicted energy distribution comprises an estimated spectral energy in a first frequency range of the constructed seismic signal estimated from spectral energy in another frequency range of the constructed seismic signal. 
     
     
         7 . The method of  claim 1 , wherein the constructed seismic signal comprises a contiguous version of a sampled input signal or a filtered contiguous version of a sampled input signal. 
     
     
         8 . The method of  claim 1 , further comprising predicting a higher frequency region of the predicted energy distribution based on an observed lower frequency energy. 
     
     
         9 . The method of  claim 1 , further comprising generating the predicted energy distribution, the generating comprising:
 based on spectral energy present in a first frequency range of said at least one measured seismic signal, estimating spectral energy in a different second frequency range of the predicted energy distribution.   
     
     
         10 . The method of  claim 9 , wherein the second frequency range comprises a relatively lower frequency range substantially associated with noise, and the first frequency range comprises a relatively higher frequency range not substantially associated with noise. 
     
     
         11 . The method of  claim 9 , wherein the second frequency range comprises a relatively higher frequency range substantially associated with aliasing, and the first frequency range comprises a relatively lower frequency range not substantially associated with aliasing. 
     
     
         12 . The method of  claim 1 , wherein the predicted energy distribution comprises a distribution derived from a priori knowledge of the energy distribution. 
     
     
         13 . The method of  claim 12 , wherein the a priori knowledge comprises an energy distribution derived from a synthetically produced dataset or an energy distribution derived from a previous seismic survey conducted at a time prior to a survey in which said at least one seismic signal was acquired. 
     
     
         14 . A system comprising:
 an interface to receive seismic data indicative of samples of at least one measured seismic signal; and   a processor to:   determine basis functions which represent a constructed seismic signal based at least in part on a matching pursuit-based technique; and   base the determination of the basis functions at least in part on a predicted energy distribution of the constructed seismic signal.   
     
     
         15 . The system of  claim 14 , wherein the processor is adapted to:
 interpret a cost function based on the predicted energy distribution of the constructed seismic signal; and   use the cost function to determine the basis functions.   
     
     
         16 . An article comprising a computer readable non-transitory storage medium to store instructions that when executed by at least one processor cause said at least one processor to:
 process seismic data indicative of samples of at least one measured seismic signal to determine basis functions which represent a constructed seismic signal based at least in part on a matching pursuit-based technique; and   base the determination of the basis functions at least in part on a predicted energy distribution of the constructed seismic signal   
     
     
         17 . The article of  claim 16 , the storage medium to store instructions that when executed by the at least one processor cause the at least one processor to:
 determine the basis functions based at least in part on an interpretation of a cost function interpreted based on the predicted energy distribution of the constructed seismic signal.   
     
     
         18 . The method of  claim 17 , wherein the cost function has a magnitude that has a plurality of minimums, the storage medium to store instructions that when executed by the at least one processor cause the at least one processor to selectively disregard one or more of the minimums based on the predicted energy distribution of the constructed seismic signal. 
     
     
         19 . The method of  claim 17 , wherein the cost function is dependent on residual energy determined based on the samples, the current version of the constructed seismic signal and a wavenumber, and the storage medium to store instructions that when executed by the at least one processor cause the at least one processor to select a wavenumber value for at least one of the basis functions.