Boots – shoes – and leggings
Patent
1986-04-25
1989-09-26
Smith, Jerry
Boots, shoes, and leggings
367 68, 367 47, G01V 136, G01V 134, G01V 128
Patent
active
048705802
ABSTRACT:
Disclosed is separation of the compressional and shear components of the wavefield measured in 3-component vertical seismic profiling. The separation involves working in the zx plane defined by the borehole axis (z) and the surface seismic source space therefrom along the x-axis, and in successive and overlapping windows each defined by (i) a depth interval centered at the depth level currently being processed and including several depth levels above and below and (ii) a time interval sufficiently long to allow the relevant seismic wavefield to be measured by the geophones. The total wavefield measurements in a window are rotated to give the wavefield along the borehole axis (z) and that perpendicular to it in the zx plane of interest. In one embodiment, the result is forward Fourier transformed in two dimensions, then filtered in wavenumber-frequency space by means of a matrix filter which depends on previously estimated compressional and shear speeds of the region that produced the VSP measurements being filtered, and the result is inverse Fourier transformed to derive the compressional component. Subtracting the compressional component from the total measured wavefield gives the shear component. The corresponding operations performed entirely in the spatial domain give corresponding results. In another embodiment, better suited to thin beds, the wavefield components along the x-axis and the z-axis are forward Fourier transformed only temporally, in one dimension, the result is filtered in the space-frequency domain with a space-variant filter which can be different for each borehole depth, and the result is inverse-transformed back to the space-time domain to derive the compressional component.
REFERENCES:
patent: 4648039 (1987-03-01), Devaney
patent: 4706224 (1987-11-01), Alfred
Lang Stephen W.
Oristaglio Michael L.
Meyer Charles B.
Schlumberger Technology Corporation
Smith Jerry
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