Processing seismic data in common group-center gathers

A computer system, comprising:

• a processor;
• and
• a memory comprising program instructions executable by the processor to:
• plot a travel-time curve on a graph, wherein the travel-time curve represents an approximate time at which one or more seismograms are received by at least one seismic receiver in a seismic survey area;
• plot on the graph one or more actual times at which the seismograms are received by the at least one seismic receiver;
• perform a linear moveout (LMO) correction on the seismograms;
• stack the LMO corrected seismograms;
• cross correlate each LMO corrected seismogram with the stacked LMO
• corrected seismograms to determine a residual static shift;
• determine a peak amplitude from each cross correlation to be the residual static shift;
• and
• use the residual static shift to estimate a time shift correction to correct a timing error in the time indicated by the travel-time curve.

A non-transitory computer-readable storage medium having stored thereon computer-executable instructions which, when executed by a computer, cause the computer to:

• plot a travel-time curve on a graph, wherein the travel-time curve represents an approximate time at which one or more seismograms are received by at least one seismic receiver in a seismic survey area;
• plot on the graph one or more actual times at which the seismograms are received by the at least one seismic receiver;
• create a first mathematical vector having a ray parameter variable and one or more residual static shift variables, wherein the residual static shift variables represent a difference between an actual time in which the at least one seismic receiver received a seismogram and a time on the travel-time curve that corresponds to the actual time;
• build a matrix having one or more differential offsets and one or more Kronecker deltas, wherein the differential offsets are based on spatial differences between one or more one or more seismic sources, one or more seismic receivers, and a center of the seismic receivers;
• create a second mathematical vector having a residual static shift estimate for each seismic source location;
• set a product of the first mathematical vector and the matrix as equal to the second mathematical vector;
• solve for the residual static shift variables in the first mathematical vector;
• and
• use the solved residual static shift variables to estimate a time shift correction to correct one or more timing errors in the time indicated by the travel-time curve.