Schlumberger Technology Corporation

Eikonix Corportation

Anthony J Devaney

Robert A Gonsalves

Emil Wolf

Michael L Oristaglio

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, 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 include the receipt of the relevant seismic energy by the geophones. The total wavefield measurements in a window are rotated to give the energy along the borehole axis (z) and that perpendicular to it in the zx plane of interest, 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.

Compressional/shear wave separation in vertical seismic profiling

Diffraction tomography systems and methods are disclosed for the reconstruction of physical properties of two and three-dimensional objects from information collected by detectors located along an arbitrary surface in space. The sources of energy investigating the object may likewise be located along an arbitrary surface. Optimal filtered backpropagation techniques and preprocessing required for such reconstructions are disclosed for systems utilizing plane wave sources, and for systems using fan beam cylindrical or spherical wave insonification. The preprocessing and filtered backpropagation techniques are shown to simplify for the cases of circular boundaries, and other separable boundaries within the Helmholtz equation.

Diffraction tomography systems and methods with arbitrary source and

Diffraction tomography systems and methods are disclosed for the reconstruction of physical properties of two- and three-dimensional objects from information collected by detector arrays which are fixed in space. Improved preprocessing procedures and an optimal filtered backpropagation technique are disclosed for both geophysical and ultrasonic diffraction tomography systems and methods. A novel method for reconstructing properties of three-dimensional objects and slices thereof in real time is also disclosed. An optimal filtered backpropagation technique for the backscatter mode is further disclosed.

Diffraction tomography systems and methods with fixed detector arrays

Diffraction tomography systems and methods are disclosed for the reconstruction of physical properties of two and three-dimensional objects from information collected in one or more diffraction tomographic procedures. A diffraction tomographic system is comprised of a continuous or pulsed source of wave energy, a detecting system for the measurement of the amplitude and/or phase of the scattered field resulting from the wave energy interacting with a two or three-dimensional object, a processing and filtering system for processing and filtering the measured signals according to a filtered backpropagation technique thereby generating arrays which are used to reconstruct the object properties, and a graphics display system for displaying obtained reconstructions. Specific embodiments include ultrasound transmission computed tomography; well-to-well electromagnetic and sonic tomography; subsurface electromagnetic or seismic exploration; and X-ray transmission tomography. The methods and systems apply filtered backpropagation techniques which are generalizations of the filtered backprojection technique of X-ray computed tomography to cases where diffraction of the insonifying beam is taken into consideration.

Diffraction tomography system and methods

Adaptive optics with controllable delay in a matrix of regions focuses the image of an object upon a detector array in an image plane that provides a signal set representative of the radiant energy incident upon a matrix of locations in the image plane. An image signal processor processes this signal set to provide a wavefront error signal representative of the estimated wavefront phase distortion of the radiant energy incident upon the detector array. A control system responds to this wavefront error signal to effect alteration of the phase delay introduced by the adaptive optics to reduce the phase distortion of radiant energy incident upon the detector array.

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Ridgefield, CT, United States of America

Anthony J Devaney