Wavefield reconstruction
First Claim
1. A method for reconstructing a seismic wavefield, comprising:
- receiving data over one or more channels of a plurality of channels from a plurality of stations, wherein;
the data are recorded by a plurality of seismic receivers and represent measurements of properties of the seismic wavefield;
each station of the plurality of stations comprises a region in space including one or more seismic receivers of the plurality of seismic receivers;
each channel of the plurality of channels either measures a property of the seismic wavefield or a property of the seismic wavefield after the seismic wavefield has undergone a known transformation; and
at least one channel of the plurality of channels is derived as a function of one or more other channels of the plurality of channels; and
using a processor based machine to process the data to;
model the seismic wavefield as a sum of basis functions;
apply to the basis functions forward transformations describing the measurements received over the one or more channels of the plurality of channels; and
determine optimum basis functions based at least in part on the measurements.
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Accused Products
Abstract
A technique for reconstructing a seismic wavefield includes receiving data over one or more channels of a plurality of channels from a plurality of stations. The data is recorded by a plurality of seismic receivers and represent measurements of properties of the seismic wavefield. Each station includes a region in space including one or more seismic receivers. Each channel either measures a property of the seismic wavefield or a property of the seismic wavefield after the seismic wavefield has undergone a known transformation. At least one channel is derived as a function of one or more other channels. The technique includes using a processor based machine to process the data to model the seismic wavefield as a sum of basis functions; apply to the basis functions at least one forward transformation that describes the measurements received over the channel(s); and determine optimum basis functions based at least in part on the measurements.
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Citations
23 Claims
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1. A method for reconstructing a seismic wavefield, comprising:
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receiving data over one or more channels of a plurality of channels from a plurality of stations, wherein; the data are recorded by a plurality of seismic receivers and represent measurements of properties of the seismic wavefield; each station of the plurality of stations comprises a region in space including one or more seismic receivers of the plurality of seismic receivers; each channel of the plurality of channels either measures a property of the seismic wavefield or a property of the seismic wavefield after the seismic wavefield has undergone a known transformation; and at least one channel of the plurality of channels is derived as a function of one or more other channels of the plurality of channels; and using a processor based machine to process the data to; model the seismic wavefield as a sum of basis functions; apply to the basis functions forward transformations describing the measurements received over the one or more channels of the plurality of channels; and determine optimum basis functions based at least in part on the measurements. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9)
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10. A method for reconstructing a seismic wavefield, comprising:
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receiving data from one or more stations in response to one or more seismic source arrays operating in one or more seismic source array configurations, wherein; the data are recorded by one or more seismic receivers and represent measurements of properties of a seismic wavefield excited by the one or more seismic source arrays operating in the one or more seismic source array configurations; each configuration of the plurality of seismic source array configurations is associated with a source location and is associated with a configuration of one or more seismic source elements; and each seismic source array configuration of the plurality of seismic source array configurations emits energy having an associated radiation pattern; and using a processor based machine to process the data to; model the seismic wavefield as a sum of basis functions; apply to the basis functions forward transformations describing the emitted radiation pattern associated with at least one source array configuration of the plurality of seismic source array configurations; and determine optimum basis functions based at least in part on the measurements. - View Dependent Claims (11, 12, 13, 14, 15, 16, 17, 18, 19, 20)
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21. A method comprising:
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receiving data over one or more channels of a plurality of channels from a plurality of stations, wherein; the data are recorded by a plurality of receivers and represent measurements of properties of a signal to be reconstructed; each station of the plurality of stations comprises a region in space including one or more seismic receivers of the plurality of receivers; each channel of the plurality of channels either measures a property of a signal to be reconstructed or a property of the signal after the signal has undergone a known transformation; and at least one channel of the plurality of channels is derived as a function of one or more other channels of the plurality of channels; and using a processor based machine to process the data to; model the signal as a sum of basis functions; apply to the basis functions at least one forward transformation describing the measurements received over the one or more channels of the plurality of channels; and determine optimum basis functions based at least in part on the measurements.
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22. A system comprising:
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an interface to receive data over one or more channels of a plurality of channels from a plurality of stations, wherein; the data are recorded by a plurality of seismic receivers and represent measurements of properties of the seismic wavefield; each station of the plurality of stations comprises a region in space including one or more seismic receivers of the plurality of seismic receivers; each channel of the plurality of channels either measures a property of the seismic wavefield or a property of the seismic wavefield after the seismic wavefield has undergone a known transformation; and at least one channel of the plurality of channels is derived as a function of one or more other channels of the plurality of channels; and the processor processes the data to; model the seismic wavefield as a sum of basis functions; apply to the basis functions forward transformations describing the measurements received over the one or more channels of the plurality of channels; and determine optimum basis functions based at least in part on the measurements.
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23. A system comprising:
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an interface to receive data from one or more stations in response to one or more seismic source arrays operating in one or more seismic source array configurations, wherein; the data are recorded by one or more seismic receivers and represent measurements of properties of a seismic wavefield excited by the one or more seismic source arrays operating in the one or more seismic source array configurations; each configuration of the plurality of seismic source array configurations is associated with a source location and is associated with a configuration of one or more seismic source elements; and each seismic source array configuration of the plurality of seismic source array configurations emits energy having an associated radiation pattern; and a processor to; model a seismic wavefield to be reconstructed as a sum of basis functions; apply to the basis functions at least one forward transformation describing the emitted radiation pattern associated with at least one source array configuration of the plurality of seismic source array configurations; and determine optimum basis functions based at least in part on the measurements.
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Specification