Frequency-domain higher-order sound wave equation forward modeling method based on directional derivative
A directional derivative and forward modeling technology, applied in the field of seismic exploration, can solve the problems of limited application conditions and low accuracy of forward modeling of high-order acoustic wave equations in the frequency domain, so as to improve accuracy, reduce memory requirements and calculation amount, and suppress numerical values. The effect of dispersion
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Embodiment 1
[0106] Using the above-mentioned simulation method, a forward simulation test is carried out on a simple two-layer medium velocity model. image 3 is the structure of the velocity model and the distribution of the observation system. The velocity of the velocity model is 1000 / s and 2000 / s respectively. The red inverted triangle in the figure represents the seismic source, and the black regular triangle represents the geophone. The grid spacing of the velocity model is △x=△z=5m, and the vertical and horizontal grid points are 101×101. The type of observation system is intermediate excitation and reception at both ends, and a single source observation system is set up, and its source position is (x s ,z s )=(250m, 10m), the geophones are symmetrically distributed on both sides of the source in the arrangement, the track spacing is 5m, the geophones are buried deep 10m, and a total of 11 channels receive. The seismic source adopts the Reker wavelet with a main frequency of 20 H...
Embodiment 2
[0108] A forward simulation test is carried out on a two-dimensional graben velocity model using the above-mentioned simulation method. Figure 5 It is the structure of the velocity model and the distribution of the observation system. The velocity of the velocity model is 1500m / s, 2000m / s and 3000m / s from top to bottom. The red inverted triangle in the figure represents the seismic source, and the black regular triangle represents the geophone. The grid spacing of the velocity model is △x=10m, △z=5m, and the vertical and horizontal grid points are 201×201. Adopt the same type of observation system and source parameters as above-mentioned embodiment 1, the source position is (x s ,z s )=(1000m, 5m), the track spacing is 10m, the buried depth of the geophone is 5m, and a total of 201 channels are received. The time sampling interval is 1ms, and the recording time length is 1.2s. Since the vertical and horizontal grid sizes of the velocity model are not equal, △x / △z=2, so cho...
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