Apparatus and method for calculating efficient 3D traveltime by using coarse-grid mesh for shallow depth source
First Claim
1. An apparatus for calculating efficient 3D traveltime by using coarse-grid mesh for a shallow depth source, the apparatus comprising:
- a Green'"'"'s function calculation unit configured to calculate a Green'"'"'s function for a homogeneous half-space medium;
an equivalent source vector calculation unit configured to calculate an equivalent source vector equivalent to an original point source vector by using a wavefield vector sampled at coarse-grid points calculated by the Green'"'"'s function calculation unit;
a wavefield vector calculation unit configured to calculate the wavefield vector by using the equivalent source vector calculated by the equivalent source vector calculation unit;
a wavefield vector'"'"'s partial derivative generation unit configured to generate a partial derivative of the wavefield vector calculated by the wavefield vector calculation unit; and
a first-arrival traveltime calculation unit configured to calculate a first-arrival traveltime by a suppressed wave equation estimation of traveltime (SWEET) algorithm with both the wavefield vector calculated by the wavefield vector calculation unit and the partial derivative of the wavefield vector generated by the wavefield vector'"'"'s partial derivative generation unit,wherein the Green'"'"'s function calculation unit calculates the Green'"'"'s function by the following equation 1;
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Abstract
The present invention relates generally to an apparatus and method for calculating efficient 3-dimensional (3D) traveltime by using coarse-grid mesh for a shallow depth source. More particularly, the present invention relates to an efficient 3D traveltime calculation method for a shallow depth source by combining a suppressed wave equation estimation of traveltime (SWEET) algorithm and an equivalent source distribution (ESD) algorithm, wherein the SWEET algorithm is a traveltime calculation algorithm using an damped wave equation and the ESD algorithm is for equivalently distributed sources; and to an apparatus and method for calculating efficient 3D traveltime by using coarse-grid mesh for a shallow depth source which may need less calculation time compared with that of a conventional SWEET algorithm.
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Citations
10 Claims
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1. An apparatus for calculating efficient 3D traveltime by using coarse-grid mesh for a shallow depth source, the apparatus comprising:
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a Green'"'"'s function calculation unit configured to calculate a Green'"'"'s function for a homogeneous half-space medium; an equivalent source vector calculation unit configured to calculate an equivalent source vector equivalent to an original point source vector by using a wavefield vector sampled at coarse-grid points calculated by the Green'"'"'s function calculation unit; a wavefield vector calculation unit configured to calculate the wavefield vector by using the equivalent source vector calculated by the equivalent source vector calculation unit; a wavefield vector'"'"'s partial derivative generation unit configured to generate a partial derivative of the wavefield vector calculated by the wavefield vector calculation unit; and a first-arrival traveltime calculation unit configured to calculate a first-arrival traveltime by a suppressed wave equation estimation of traveltime (SWEET) algorithm with both the wavefield vector calculated by the wavefield vector calculation unit and the partial derivative of the wavefield vector generated by the wavefield vector'"'"'s partial derivative generation unit, wherein the Green'"'"'s function calculation unit calculates the Green'"'"'s function by the following equation 1; - View Dependent Claims (2, 3, 4, 5)
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6. A method of calculating efficient 3D traveltime by using coarse-grid mesh for a shallow depth source, the method comprising:
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calculating, by a Green'"'"'s function calculation unit, a Green'"'"'s function for a homogeneous half-space medium; calculating, by an equivalent source vector calculation unit, an equivalent source vector equivalent to an original point source vector by using a wavefield vector sampled at coarse-grid points calculated at the calculating the Green'"'"'s function; calculating, by a wavefield vector calculation unit, the wavefield vector by using the equivalent source vector calculated at the calculating the equivalent source vector; generating, by the wavefield vector'"'"'s partial derivative generation unit, a partial derivative of the wavefield vector calculated at the calculating the wavefield vector; and calculating, by a first-arrival traveltime calculation unit, a first-arrival traveltime by using a SWEET algorithm with both the wavefield vector calculated at the calculating the wavefield vector and the partial derivative of the wavefield vector generated at the generating the partial derivative of the wavefield vector, wherein at the calculating the Green'"'"'s function, the Green'"'"'s function is calculated by the following equation 6; - View Dependent Claims (7, 8, 9, 10)
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Specification