Orthogonal Source and Receiver Encoding
First Claim
1. A computer implemented method for iterative inversion of measured geophysical data to determine a physical properties model for a subsurface region, comprising using a computer to sum a plurality of encoded gathers of the measured geophysical data, each gather being associated with a single source or group of sources and encoded with a different encoding function selected from a set of encoding functions that are orthogonal or pseudo-orthogonal with respect to cross-correlation, thereby forming a simultaneous encoded gather of measured geophysical data representing a plurality of sources, then using an assumed physical properties model or an updated physical properties model from a prior iteration to simulate the simultaneous encoded gather of measured geophysical data, then computing an objective function measuring misfit between the simultaneous encoded gather of measured geophysical data and the simulated simultaneous encoded gather, then optimizing the objective function to determine a model update, wherein receivers are encoded to make computation of the objective function less sensitive to one or more of the plurality of sources for a given receiver.
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Abstract
Method for performing simultaneous encoded-source inversion of geophysical data to estimate parameters of a physical property model (41), especially adapted for surveys without fixed-receiver acquisition geometry, such as marine seismic surveys with moving source and receivers. The encoding functions (32) used on the sources to generate one or more simultaneous encoded-source gathers of data (35), as well as to simulate the same (34), are orthogonal or pseudo-orthogonal with respect to cross-correlation. In addition, receivers are also encoded, with the receiver encoding being designed to make a given receiver less sensitive to sources to which it was not listening during the survey (38). The encoding functions may be temporal bandpass filters differing one from another by central frequency, phase, or both. Efficiency of the method may be further improved by grouping several sources into a super-source, grouping the corresponding gathers into a super-gather, and then applying the above encoding strategy.
33 Citations
29 Claims
- 1. A computer implemented method for iterative inversion of measured geophysical data to determine a physical properties model for a subsurface region, comprising using a computer to sum a plurality of encoded gathers of the measured geophysical data, each gather being associated with a single source or group of sources and encoded with a different encoding function selected from a set of encoding functions that are orthogonal or pseudo-orthogonal with respect to cross-correlation, thereby forming a simultaneous encoded gather of measured geophysical data representing a plurality of sources, then using an assumed physical properties model or an updated physical properties model from a prior iteration to simulate the simultaneous encoded gather of measured geophysical data, then computing an objective function measuring misfit between the simultaneous encoded gather of measured geophysical data and the simulated simultaneous encoded gather, then optimizing the objective function to determine a model update, wherein receivers are encoded to make computation of the objective function less sensitive to one or more of the plurality of sources for a given receiver.
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15. A computer-implemented method for inversion of measured geophysical data to determine a physical properties model for a subsurface region, comprising:
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(a) obtaining a group of two or more gathers of the measured geophysical data, wherein each gather is associated with a single source or group of sources; (b) encoding each gather with a different encoding function wherein the encoding is orthogonal or pseudo-orthogonal with respect to cross-correlation; (c) summing the encoded gathers in the group by summing all data records in each gather that correspond to a single receiver and repeating for each different receiver, resulting in a simultaneous encoded-source gather; (d) assuming a physical properties model of the subsurface region, said model providing values of at least one physical property at locations throughout the subsurface region; (e) using the assumed physical properties model, simulating the simultaneous encoded-source gather, encoding source signatures in the simulation using the same encoding functions used to encode corresponding gathers of measured data, wherein an entire simultaneous encoded-source gather is simulated in a single simulation operation; (f) calculating a difference for each receiver between the simultaneous encoded-source gather made up of measured geophysical data and the simulated simultaneous encoded-source gather, said difference being referred to as the residual for that receiver; (g) applying receiver encoding to each residual, said receiver encoding being selected to attenuate contributions from sources for which the receiver was inactive; (h) computing an objective function from the receiver-encoded residuals, and updating the assumed physical properties model based on the objective function computation; (i) repeating (b)-(h) at least one more iteration, using the updated physical properties model from the previous iteration as the assumed physical properties model, to produce a further updated physical properties model of the subsurface region; and (j) downloading the further updated physical properties model or saving it to computer storage; wherein, at least one of (a)-(j) are performed using a computer. - View Dependent Claims (16, 17, 18, 19)
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20. A non-transitory computer usable medium having a computer readable program code embodied therein, said computer readable program code adapted to be executed to implement a method for iterative inversion of measured geophysical data to determine a physical properties model for a subsurface region, said method comprising:
summing a plurality of encoded gathers of the measured geophysical data, each gather being associated with a single source or group of sources and encoded with a different encoding function selected from a set of encoding functions that are orthogonal or pseudo-orthogonal with respect to cross-correlation, thereby forming a simultaneous encoded gather of measured geophysical data representing a plurality of sources, then using an assumed physical properties model or an updated physical properties model from a prior iteration to simulate the simultaneous encoded gather of measured geophysical data, then computing an objective function measuring misfit between the simultaneous encoded gather of measured geophysical data and the simulated simultaneous encoded gather, then optimizing the objective function to determine a model update, wherein receivers are encoded to make computation of the objective function less sensitive to one or more of the plurality of sources for a given receiver. - View Dependent Claims (21)
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23. A computer-implemented method for inversion of measured geophysical data to determine a physical properties model for a subsurface region, comprising:
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(a) obtaining a group of two or more multi-shot gathers of the measured geophysical data, each multi-shot gather consisting of a plurality of individual-shot gathers having a common set of illuminated receivers; (b) encoding each multi-shot gather with a different encoding function selected from a set of encoding functions that are orthogonal or pseudo-orthogonal with respect to cross-correlation; (c) summing the encoded multi-shot gathers by summing all data records in each gather that correspond to a single receiver and repeating for each different receiver, resulting in a simultaneous encoded-source gather; (d) assuming a physical properties model of the subsurface region, said model providing values of at least one physical property at locations throughout the subsurface region; (e) using the assumed physical properties model, simulating the simultaneous encoded-source gather, encoding source signatures in the simulation using the same encoding functions used to encode corresponding gathers of the measured data, wherein an entire simultaneous encoded-source gather is simulated, using a programmed computer, in a single simulation operation; (f) calculating a difference for each receiver between the simultaneous encoded-source gather and the simulated simultaneous encoded-source gather, said difference being referred to as the residual for that receiver; (g) applying receiver encoding to each residual, said receiver encoding being selected to attenuate contributions from sources for which the receiver was inactive; (h) computing an objective function from the receiver-encoded residuals, and updating the assumed physical properties model based on the objective function computation; (i) repeating (b)-(h) at least one more iteration, using the updated physical properties model from the previous iteration as the assumed physical properties model, to produce a further updated physical properties model of the subsurface region; and (j) downloading the further updated physical properties model or saving it to computer storage.
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24. A computer-implemented method for inversion of measured data from a geophysical survey to determine a physical properties model for a subsurface region, comprising:
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(a) simulating, using an assumed physical properties model, all source gathers in the measured geophysical data in a single simulation, using encoding, thereby generating a simulated data set; (b) determining a grouping strategy that helps distinguish between data records corresponding to a receiver and a source where the receiver did not listen to the source during the geophysical survey; (c) for each group, encoding the sources, each source being encoded with the same encoding used in (a), and performing steps comprising; (i) simulating, using the assumed physical properties model, all source gathers in the group in a single simulation, thereby generating a simulated group data set; (ii) determining receiver locations in the simulated group data set that were not illuminated by at least one of the sources in the group; (iii) for each of the determined receiver locations, retrieving corresponding data from the simulated group data set and subtracting it from the same receiver location in the simulated data set; (d) adjusting the measured data to include only data corresponding to that remaining in the simulated data set after (iii), and computing a data residual, being a difference between the adjusted measured data and the simulated data set; (e) adjusting the assumed physical properties model to reduce the data residual; and (f) repeating (a)-(e) until a predetermined convergence criterion is satisfied or other stopping condition is met. - View Dependent Claims (25, 26, 27, 28, 29)
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Specification