Method of evaluating the interaction between a wavefield and a solid body
First Claim
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1. An apparatus for evaluating an interaction between a wavefield and a body, comprising:
- (a) means for providing an injection boundary enclosing a subspace of a model having one or more physical and/or geometrical properties representing a body;
(b) means for providing an extrapolation surface enclosing a portion of the subspace;
(c) means for generating at and/or near the injection boundary waveforms representing an initial interaction between an initial wavefield and the body;
(d) means for changing the physical and/or geometrical properties in the portion of the subspace enclosed by the extrapolation surface;
(e) means for applying the waveforms to the subspace as a boundary condition, thereby radiating/emitting the waveforms into the subspace;
(f) means for propagating the radiated/emitted waveforms throughout the subspace;
(g) means for using Green'"'"'s functions to extrapolate the propagated waveforms recorded/observed along the extrapolation surface to the injection boundary, thereby implementing one or more interactions between the waveforms propagated throughout the subspace and the model; and
(h) means for updating the boundary condition.
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Abstract
Described is a finite-difference methodology for efficiently computing the response from a model subject to changes within sub-volumes with the sub-volume enclosed with an extrapolation surface within an injection boundary using Green'"'"'s functions to update the injection boundary and transmitting an updated wavefield from the injection boundary back into the altered sub-volume to include higher order reflections from outside of the altered sub-space.
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Citations
20 Claims
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1. An apparatus for evaluating an interaction between a wavefield and a body, comprising:
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(a) means for providing an injection boundary enclosing a subspace of a model having one or more physical and/or geometrical properties representing a body; (b) means for providing an extrapolation surface enclosing a portion of the subspace; (c) means for generating at and/or near the injection boundary waveforms representing an initial interaction between an initial wavefield and the body; (d) means for changing the physical and/or geometrical properties in the portion of the subspace enclosed by the extrapolation surface; (e) means for applying the waveforms to the subspace as a boundary condition, thereby radiating/emitting the waveforms into the subspace; (f) means for propagating the radiated/emitted waveforms throughout the subspace; (g) means for using Green'"'"'s functions to extrapolate the propagated waveforms recorded/observed along the extrapolation surface to the injection boundary, thereby implementing one or more interactions between the waveforms propagated throughout the subspace and the model; and (h) means for updating the boundary condition. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20)
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Specification