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  • propagation phase advance function, which is the ''travel time'' of a point on a wave front. The use of index of refraction reflects Solutions to the eikonal equation yield a high-frequency or large-wavenumber asymptotic representation of the wave
    2 KB (365 words) - 19:12, 8 April 2019
  • as long as we do not try to cross a pole, branch point, or other singularity, which are the places where the integrand fails to be ...have infinite radius, as <math> |R|\rightarrow\infty</math>. Because the point <math> z = x + iy </math>
    15 KB (2,476 words) - 13:44, 12 September 2018
  • ...nate representation of a function by expanding that function about a given point. The ...mber of continuous derivatives that the function being expanded has at the point that it is being
    7 KB (1,252 words) - 09:27, 20 June 2017
  • ...istory it owned more geophysical patents (among them the common reflection point method) than any other contractor or oil company in the world. ...in the dark and the rain, shaking at the thought of doing back to the shot point."
    27 KB (4,632 words) - 15:15, 17 October 2016
  • ...e areas of the Peace River and Lloydminster oil-sands and these operations yield low oil recoveries (ca. 15 to 20%). Here we focus on the Peace River oil-sa ...rbonate platform margins, with no leakage from the Devonian system. A leak point of the Devonian closed' system is in the northeastern end of the Rimbey Mea
    18 KB (2,698 words) - 15:41, 13 December 2020
  • ...ferring to his Italian immigrant descent. A newspaper satirized: "He had a point. After all, how many multi-millionaires are there?" And both missed the gis ...developed the electrical seismograph radio communication between the shot point and the recording trucks, which registered the actual time break by radio.
    34 KB (5,564 words) - 18:39, 4 November 2016
  • ...z-transform|''z''-transform]]. For example, let the basic wavelet be a two-point time series given by ''w''(''t'') : (1, {{sfrac|- |1|2}}). The ''z''-transf ...er the first two terms in equation ({{EquationNote|11}}) which yield a two-point filter operator (1, {{sfrac|1|2}}). The design and application of this oper
    9 KB (1,230 words) - 17:10, 7 October 2014
  • Consider the special case of a three-point inverse filter (''f''<sub>0</sub>, ''f''<sub>1</sub>, ''f''<sub>2</sub>). W ...into matrix form, these equations for the coefficients of powers of ''z'' yield
    59 KB (9,331 words) - 17:26, 7 October 2014
  • ...tions by suppressing noise of various types. ''Processing, however, cannot yield signal from field data without signal''. At best, it suppresses whatever no ...there is no flat, smooth topography. Irregularities of varying size act as point scatterers, which cause diffraction arrivals with table-top trajectories. T
    6 KB (873 words) - 15:58, 28 August 2014
  • ...ace ''n<sub>r</sub>'', and multiple offset coverage of the same subsurface point ''n<sub>f</sub>'', are used in the field. Given the total number of element ...As a result, hyperbolic moveout correction and CMP stacking do not always yield a stacked section in which reflections from the underlying strata are faith
    5 KB (657 words) - 18:57, 26 September 2020
  • ...trend. However, the velocity spectrum that corresponds to CMP 188 does not yield a distinctive trend, thus making it relatively difficult to pick (Figure 1. ...d indicate the range of magnitude of shot static shifts; a common-receiver-point stack (Figure 3.3-16) should indicate the range of magnitude of receiver st
    16 KB (2,361 words) - 09:25, 19 September 2014
  • ...l of the source-receiver pairs within the gather, regardless of dip. Depth point ''D'', however, is different for each source-receiver pair in a CMP gather ...ed with the nonzero-offset raypath ''SDG'' from source ''S'' to reflection point ''D'' to receiver ''G'', the two-way zero-offset time ''t''<sub>0</sub> is
    5 KB (667 words) - 17:39, 7 October 2014
  • ...ded for the moveout-corrected traveltime from a source location to a depth point on a reflecting horizon, then back to a receiver location. Figure 3.3-18 sh ...this way on all CMP gathers moving to the left and right from the starting point. The picked time deviations ''t<sub>ij</sub>'' are passed on to the next ph
    22 KB (3,408 words) - 17:48, 7 October 2014
  • ...or data with a narrow bandwidth or high noise level, crosscorrelation can yield a multiple number of peaks and cause uncertainty in the estimated time shif ...stacks (Figure 3.3-26) indicate small shot-static shifts, common-receiver-point (CRP) stacks (Figure 3.3-27) indicate a zone of significant receiver-static
    10 KB (1,565 words) - 09:40, 19 September 2014
  • ...based on the the generalized reciprocal or least-squares method) does not yield the true refractor shape. Instead, the uncertainty in weathering velocity s ...r locations associated with 2-D or 3-D recording geometries. The important point to keep in mind, however, is that neither method yields the true physical p
    11 KB (1,639 words) - 18:01, 7 October 2014
  • ...g lines. Would you expect that velocity analyses at the intersection point yield the same velocity function?
    7 KB (1,046 words) - 10:34, 19 September 2014
  • ...G'' is given by ''SR'' + ''RG'' = ''FR'' + ''RG'' = ''FG'' = ''vt'', where point ''F'' is the mirror image of the source location ''S'', ''v'' is the veloci ...the variable-thickness scheme (whether it is based on GRM or GLI) does not yield the true refractor shape. Instead, the uncertainty in weathering velocity s
    69 KB (11,212 words) - 10:58, 19 September 2014
  • ...D''. The last arrival is recorded at location ''B'', which is indicated by point ''D′'' in Figure 4.1-1b. In this experiment, diffractions off the edges o ...grates to ''C′D′'' and that point ''E′'' on ''C′D′'' migrates to point ''E'' on ''CD''. The horizontal and vertical (time) displacements — ''d<s
    14 KB (2,131 words) - 13:40, 19 September 2014
  • ...-wave decomposition is equivalent to Fourier transforming the wavefield to yield ''P''(''k<sub>x</sub>'', 0, ''ω''). ...vefront at time ''t'', back to its position at ''t'' = 0 — to reflection point ''P''. To return the energy to ''P'', it makes sense to follow the same ray
    72 KB (11,166 words) - 13:37, 29 November 2017
  • ...t an abnormal behavior as sketched in Figure 5.1-23. Consider a reflection point E that represents all dips on the [[salt flanks|salt flank]]. Sketched in F ...uch as ''ADE'' causes an abnormal moveout. At location ''C'', the raypaths yield a normal moveout, and at location ''B'' no moveout is observed on the CMP g
    17 KB (2,625 words) - 13:53, 8 October 2014

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