1991
DOI: 10.1190/1.1443019
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Diffraction‐based velocity estimates from optimum offset seismic data

Abstract: A graphical method is characterized for estimating seismic velocity directly from diffraction patterns observed on common offset records. The nature of the resulting estimate is examined by illustrating the connection between the graphical approach and a related method used by practitioners of ground penetrating radar. While the latter provides only a crude stacking velocity, the graphical technique yields the generalized rms velocity for stratified media. Associated interval velocities can be derived from two… Show more

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Cited by 5 publications
(3 citation statements)
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“…In order to convert travel time into depth, the GPR signal velocities in the subsoil were estimated using a hyperbola fitting technique through the diffraction of some hyperbolas caused by concrete irrigation piles found throughout the study area (Cross and Knoll ; Jacob and Urban ). Finally, an average velocity of 0.08 m ns –1 (values ranging from 0.06 to 0.10 m ns –1 ) was established and used to estimate the depth of the strata.…”
Section: Data Collection and Methodsmentioning
confidence: 99%
“…In order to convert travel time into depth, the GPR signal velocities in the subsoil were estimated using a hyperbola fitting technique through the diffraction of some hyperbolas caused by concrete irrigation piles found throughout the study area (Cross and Knoll ; Jacob and Urban ). Finally, an average velocity of 0.08 m ns –1 (values ranging from 0.06 to 0.10 m ns –1 ) was established and used to estimate the depth of the strata.…”
Section: Data Collection and Methodsmentioning
confidence: 99%
“…The GPR signal velocity may also be estimated from GPR profile data collected perpendicular to a subsurface ‘point scatterer’ (Cross and Knoll ; al Hagrey and Müller ; Conyers ). This method is based on the increasing travel time associated with the increasing path length as the distance increases away from the point scatterer.…”
Section: Methods Of Determining the Velocitymentioning
confidence: 99%
“…Case studies in this paper relied primarily on the technique of hyperbola fitting to estimate velocity. When a GPR profile is collected perpendicular to a point-scatter (i.e., an anomaly in the ground that results in a diffraction hyperbola) velocity may be estimated from the resulting hyperbolic curve on the basis of increasing travel time associated with increasing path length with regard to horizontal distance from the sub-surface anomaly [8,9]. The relationship of antenna position x, point-scatter depth d, travel time T, velocity v, and T 0 (the time at which the antenna is directly above the point-scatterer) can be described in simple terms by (Equation (1))…”
Section: Ground-penetrating Radar (Gpr) In Frozen and Partially Frozementioning
confidence: 99%