Wave-fields separation for seismic recorders distributed at non-flat recording surfaces

A computing device for separating up-going and down-going wave fields (U, D) in seismic data related to a subsurface of a body of water or to a subsurface of a body of rock, the computing device comprising:

• an interface configured to receive seismic data (Po, Zo) recorded in the time-space domain with seismic recorders distributed on a first datum, wherein the first datum is non-flat;
• and
• a processor connected to the interface and configured to,
• receive a mathematical relation between transformed seismic data (P, Z) and the up-going and down-going wave fields (U, D) on a second planar datum, and
• solve with an inversion procedure the mathematical relation to obtain the up-going and down-going wave fields (U, D) for the second datum,
• wherein the second datum is different from the first datum.

A computer readable medium including computer executable instructions, wherein the instructions, when executed by a processor, implement instructions for separating up-going and down-going wave fields (U, D) in seismic data related to a subsurface of a body of water or to a subsurface of a body of rock, the instructions comprising:

• receiving seismic data (Po, Zo) recorded in the time-space domain with seismic recorders distributed on a first datum, wherein the first datum is non-flat;
• establishing a mathematical relation between transformed seismic data (P, Z) and the up-going and down-going wave fields (U, D) on a second planar datum;
• and
• solving with an inversion procedure, run on a processor, the mathematical relation to obtain the up-going and down-going wave fields (U, D) for the second datum,
• wherein the second datum is different from the first datum.