Methods and systems for determining attenuated traveltime using parallel processing
Systems and methods are disclosed. The method includes obtaining seismic data for a geological region of interest, a velocity model, and an attenuation model. The seismic data includes an amplitude and a phase of seismic waves traveling from a seismic source location. The method further includes determining a traveltime model using the seismic source location, the velocity model, and a traveltime Eikonal function and determining an attenuated traveltime model using a parallel fast sweeping method. The parallel fast sweeping method includes Cuthill-McKee ordering a plurality of grid nodes. The plurality of grid nodes represents the geological region of interest. The parallel fast sweeping method further includes using the seismic source location, the velocity model, the attenuation model, the traveltime model, and an attenuated traveltime Eikonal function. The method still further includes generating an updated attenuation model using the attenuated traveltime model, the amplitude, and the phase.
1. A method comprising:
obtaining seismic data based on a seismic survey of a geological region of interest, wherein the seismic data comprises an amplitude and a phase of seismic waves traveling from a seismic source location to each of a plurality of seismic receiver locations;
obtaining a velocity model comprising a velocity at each of a plurality of grid nodes, wherein the plurality of grid nodes represents the geological region of interest;
obtaining an attenuation model comprising an attenuation factor at each of the plurality of grid nodes;
determining, by a computer processor, a traveltime model using the seismic source location, the velocity model, and a traveltime Eikonal function, wherein the traveltime model comprises a traveltime at each of the plurality of grid nodes;
determining, by the computer processor, an attenuated traveltime model using a parallel fast sweeping method,
wherein the attenuated traveltime model comprises an attenuated traveltime at each of the plurality of grid nodes,
wherein the parallel fast sweeping method comprises Cuthill-McKee ordering the plurality of grid nodes into a plurality of levels for each of a plurality of sweeps,
wherein the parallel fast sweeping method further comprises using the seismic source location, the velocity model, the attenuation model, the traveltime model, and an attenuated traveltime Eikonal function, and
wherein the attenuated traveltime at each of the plurality of grid nodes within each of the plurality of levels are determined in parallel; and
generating, by the computer processor, an updated attenuation model of the geological region of interest using the attenuated traveltime model, the amplitude, and the phase.
2. The method of claim 1 , further comprising determining a seismic image using the seismic data and the updated attenuation model.
3. The method of claim 2 , further comprising:
identifying, using a seismic interpretation workstation, a hydrocarbon reservoir within the geological region of interest using the seismic image.
4. The method of claim 3 , further comprising:
drilling a well to penetrate the hydrocarbon reservoir.
5. The method of claim 1 , wherein determining the traveltime model further comprises:
defining the traveltime for a first grid node among the plurality of grid nodes as zero, wherein the first grid node represents the seismic source location;
initializing the traveltime for each of the plurality of grid nodes except the first grid node as a positive value; and
determining an updated traveltime for each of the plurality of grid nodes except the first grid node using a fast sweeping method until a convergence criterion is satisfied.
6. The method of claim 1 , wherein determining the attenuated traveltime model further comprises:
defining the attenuated traveltime for a first grid node among the plurality of grid nodes as zero, wherein the first grid node represents the seismic source location;
initializing the attenuated traveltime for each of the plurality of grid nodes except the first grid node as a positive value; and
determining an updated attenuated traveltime for each of the plurality of grid nodes except the first grid node using the parallel fast sweeping method until a convergence criterion is satisfied.
7. The method of claim 6 , wherein the convergence criterion comprises the updated attenuated traveltime equaling a previous attenuated traveltime.
8. The method of claim 1 , wherein the plurality of grid nodes corresponds to a three-dimensional grid.
9. The method of claim 1 , wherein the attenuation factor comprises an inverse attenuation factor.
10. The method of claim 1 , wherein the computer processor comprises a graphics processing unit (GPU), wherein the attenuated traveltime at each of the plurality of grid nodes within each of the plurality of levels are determined in parallel using the GPU.
11. The method of claim 1 , wherein Cuthill-McKee ordering comprises assigning each of the plurality of grid nodes to each of the plurality of levels based on an index of each of the plurality of grid nodes in a coordinate system.
12. The method of claim 1 , wherein each of the plurality of sweeps reassigns each of the plurality of grid nodes to each of the plurality of levels based on a new index of each of the plurality of grid nodes in a transformed coordinate system.
13. A system comprising:
a seismic acquisition system configured to acquire seismic data comprising an amplitude and a phase of seismic waves traveling from a seismic source location to each of a plurality of seismic receiver locations; and
a seismic processing system comprising a computer processor, wherein the seismic processing system is configured to:
receive the seismic data based on a seismic survey of a geological region of interest,
receive a velocity model comprising a velocity at each of a plurality of grid nodes, wherein the plurality of grid nodes represents the geological region of interest,
receive an attenuation model comprising an attenuation factor at each of the plurality of grid nodes,
determine a traveltime model using the seismic source location, the velocity model, and a traveltime Eikonal function, wherein the traveltime model comprises a traveltime at each of the plurality of grid nodes,
determine an attenuated traveltime model using a parallel fast sweeping method,
wherein the attenuated traveltime model comprises an attenuated traveltime at each of the plurality of grid nodes;
wherein the parallel fast sweeping method comprises Cuthill-McKee ordering the plurality of grid nodes into a plurality of levels for each of a plurality of sweeps;
wherein the parallel fast sweeping method further comprises using the seismic source location, the velocity model, the attenuation model, the traveltime model, and an attenuated traveltime Eikonal function; and
wherein the attenuated traveltime at each of the plurality of grid nodes within each of the plurality of levels are determined in parallel, and
generate an updated attenuation model regarding the geological region of interest using the attenuated traveltime model, the amplitude, and the phase.
14. The system of claim 13 , wherein the seismic processing system is further configured to determine a seismic image using the seismic data and the updated attenuation model.
15. The system of claim 14 , further comprising a seismic interpretation workstation configured to identify a hydrocarbon reservoir within the geological region of interest using the seismic image.
16. The system of claim 13 , wherein the computer processor comprises a graphics processing unit (GPU), wherein the attenuated traveltime at each of the plurality of grid nodes within each of the plurality of levels are determined in parallel using the GPU.
17. The system of claim 13 , wherein the seismic processing system is further configured to:
define the traveltime for a first grid node among the plurality of grid nodes as zero, wherein the first grid node represents the seismic source location;
initialize the traveltime for each of the plurality of grid nodes except the first grid node as a positive value; and
determine an updated traveltime for each of the plurality of grid nodes except the first grid node using a fast sweeping method until a convergence criterion is satisfied.
18. The system of claim 13 , wherein the seismic processing system is further configured to:
define the attenuated traveltime for a first grid node among the plurality of grid nodes as zero, wherein the first grid node represents the seismic source location;
initialize the attenuated traveltime for each of the plurality of grid nodes except the first grid node as a positive value; and
determine an updated attenuated traveltime for each of the plurality of grid nodes except the first grid node using the parallel fast sweeping method until a first convergence criterion is satisfied.
19. The system of claim 13 , wherein Cuthill-McKee ordering comprises assigning each of the plurality of grid nodes to each of the plurality of levels based on an index of each of the plurality of grid nodes in a coordinate system.
20. The system of claim 13 , wherein each of the plurality of sweeps reassigns each of the plurality of grid nodes to each of the plurality of levels based on a new index of each of the plurality of grid nodes in a transformed coordinate system.