# US 10,871,586 B2 · Device and method for multi-shot wavefield reconstruction > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 10,871,586 B2 - Document ID: US10871586B2 - Status: Granted - Kind: B2 - Application number: 15/597,577 - Filed: 2017-05-17 - Published: 2018-11-22 - Granted: 2020-12-22 - Earliest claimed: 2017-05-17 - Assignees: Cgg Services SAS - Applicants: Cgg Services SAS - Inventors: Gordon Poole - Web page: https://patentgrep.com/patent/US10871586B2 ## CPC - G01V 1/36: Effecting static or dynamic corrections on records, e.g. correcting spread; Correlating seismic signals; Eliminating effects of unwanted energy - G01V 1/28: Processing seismic data, e.g. for interpretation or for event detection (G01V1/48 takes precedence) - G01V 1/282: {Application of seismic models, synthetic seismograms} - G01V 1/32: Transforming one recording into another {or one representation into another} - G01V 1/38: specially adapted for water-covered areas (G01V1/28 takes precedence) - G01V 2210/142: Receiver location - G01V 2210/46: Radon transform - G01V 2210/57: Trace interpolation or extrapolation, e.g. for virtual receiver; Anti-aliasing for missing receivers - G01V: GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS (means for indicating the location of accidentally buried, e.g. snow-buried, persons A63B29/02) ## Abstract Method for reconstructing seismic data. The method includes receiving at a computing device an input seismic data set d related to plural shots emitted by one or more seismic sources; receiving at the computing device a positional data set dp relating to recording locations of the receivers that recorded the input seismic data set d; receiving at the computing device a receiver target location; calculating an adjusted receiver location based on (i) the positional data set dp and (ii) the receiver target location, wherein the adjusted receiver location substantially coincides with a receiver location from the positional data set dp; calculating reconstructed seismic data dr at the adjusted receiver location using the input seismic data set d and the positional data set dp; and correcting the seismic wave paths from the one or more seismic sources to the receivers based on the reconstructed seismic data dr. ## Claims ### Claim 1 A method for reconstructing seismic data, the method comprising: receiving at a computing device an input seismic data set d related to plural shots emitted by one or more seismic sources (S), wherein the input seismic data set d is indicative of seismic wave paths from the one or more seismic source (S) to receivers; receiving at the computing device a positional data set dp relating to recording locations of the receivers that recorded the input seismic data set d; receiving at the computing device a receiver target location; calculating, with the computing device, an adjusted receiver location based on (i) the positional data set dp and (ii) the receiver target location, wherein the adjusted receiver location is a receiver location from the positional data set dp that is closest to or substantially coincides to the receiver target location; calculating, with the computing device, reconstructed seismic data dr at the adjusted receiver location using the input seismic data set d and the positional data set dp; and correcting the seismic wave paths from the one or more seismic sources (S) to the receivers based on the reconstructed seismic data dr. ### Claim 2 (depends on 1) The method of claim 1, wherein the input seismic data set d is acquired with the receivers being located on streamers making a non-zero deviation angle with a pre-plot path. ### Claim 3 (depends on 1) The method of claim 1, wherein the step of correcting includes: generating an image of the subsurface based on the corrected seismic wave paths. ### Claim 4 (depends on 1) The method of claim 1, wherein the positional data set includes locations of the receivers distributed along streamers, at instants when the source was fired. ### Claim 5 (depends on 1) The method of claim 1, wherein the step of calculating the reconstructed seismic data comprises: applying a domain transform to the input seismic data d to calculate a model m of the input seismic data d, where the model m is in a model domain different from a time-space domain in which the input seismic data d is recorded. ### Claim 6 (depends on 5) The method of claim 5, wherein the domain transform is achieved with a linear operator L and the model domain m is a Radon domain. ### Claim 7 (depends on 5) The method of claim 5, further comprising: applying a reverse transform to the model m, to obtain the reconstructed seismic data in the time-space domain, wherein the model is continuous in the model domain. ### Claim 8 (depends on 1) The method of claim 1, wherein the reconstructed seismic data dr at the adjusted receiver location combines all seismic wave paths from the input seismic data set. ### Claim 9 (depends on 8) The method of claim 8, wherein the wave paths of the input seismic data set contribute with different weights to the reconstructed seismic data. ### Claim 10 (depends on 1) The method of claim 1, wherein the reconstructed seismic data combines all the seismic wave paths of the input seismic data at the adjusted receiver location. ### Claim 11 (depends on 1) The method of claim 1, wherein the step of calculating the reconstructed seismic data comprises applying a Taylor expansion involving the input seismic data d. ### Claim 12 (depends on 1) The method of claim 1, wherein the step of calculating the reconstructed seismic data comprises: calculating a structural tensor which is a function of the input seismic data d. ### Claim 13 A computing device for reconstructing seismic data, the computing device comprising: an input/output interface for receiving an input seismic data set d related to plural shots emitted by one or more seismic sources (S), wherein the input seismic data set d is indicative of seismic wave paths from the one or more seismic source (S) to receivers, receiving a positional data set dp relating to recording locations of the receivers that recorded the input seismic data set d, and receiving a receiver target location; and a processor connected to the input/output interface and configured to, calculate an adjusted receiver location based on (i) the positional data set dp and (ii) the receiver target location, wherein the adjusted receiver location is a receiver location from the positional data set dp that is closest to or substantially coincides to the receiver target location, calculate reconstructed seismic data dr at the adjusted receiver location using the input seismic data set d and the positional data set dp, and correct the seismic wave paths from the one or more seismic sources (S) to the receivers based on the reconstructed seismic data dr. ### Claim 14 (depends on 13) The computing device of claim 13, wherein the input seismic data set d is acquired with the receivers being located on streamers making a non-zero deviation angle with a pre-plot path. ### Claim 15 (depends on 13) The computing device of claim 13, wherein the processor is further configured to: generate an image of the subsurface based on the corrected seismic wave paths. ### Claim 16 (depends on 13) The computing device of claim 13, wherein the positional data set includes locations of the receivers distributed along streamers, at instants when the source was fired. ### Claim 17 (depends on 13) The computing device of claim 13, wherein the processor is further configured to: apply a domain transform to the input seismic data d to calculate a model m of the input seismic data d, where the model m is in a model domain different from a time-space domain in which the input seismic data d is recorded. ### Claim 18 (depends on 13) The computing device of claim 13, wherein the reconstructed seismic data dr at the adjusted receiver location combines all seismic wave paths from the input seismic data set. ### Claim 19 (depends on 13) The computing device of claim 13, wherein the processor is configured to execute at least one of: applying a Taylor expansion involving the input seismic data d, or calculating a structural tensor which is a function of the input seismic data d. ### Claim 20 A non-transitory computer readable medium including computer executable instructions, wherein the instructions, when executed by a processor, implement a method for reconstructing seismic data, the method comprising: receiving at a computing device an input seismic data set d related to plural shots emitted by one or more seismic sources (S), wherein the input seismic data set d is indicative of seismic wave paths from the one or more seismic source (S) to receivers; receiving at the computing device a positional data set dp relating to recording locations of the receivers that recorded the input seismic data set d; receiving at the computing device a receiver target location; calculating, with the computing device, an adjusted receiver location based on (i) the positional data set dp and (ii) the receiver target location, wherein the adjusted receiver is a receiver location from the positional data set dp that is closest to or substantially coincides to the receiver target location; calculating, with the computing device, reconstructed seismic data dr at the adjusted receiver location using the input seismic data set d and the positional data set dp; and correcting the seismic wave paths from the one or more seismic sources (S) to the receivers based on the reconstructed seismic data dr.