Symmetric matrix method for rapid gravity interpretation

Negi, Janardan G.; Garde, Subhash C.

doi:10.1029/jb074i015p03804

Cited by 15 publications

(9 citation statements)

References 6 publications

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“…In the limiting case a~/a~ = I, thus equation (IO) is identical to equation (9) and the residual field is unbiased. Hence similar results as those of Negi and Garde (1969) are obtained.…”

Section: Theorysupporting

confidence: 91%

“…In fact the use of lateral density variation for separation of an "unbiased" residual field considering arbitrary density variation has been already indicated by Negi and Garde (1969). We have generalized this approach and derived simple relations to specify the density structure of the causative mass.…”

Section: Introductionmentioning

confidence: 95%

“…In the present paper we describe a technique to reduce this bias in the residual gravity structure through introduction of lateral variation of density contrast defined by approximating the observed gravity profile to a set of parabolae. In fact the use of lateral density variation for separation of an "unbiased" residual field considering arbitrary density variation has been already indicated by Negi and Garde (1969). We have generalized this approach and derived simple relations to specify the density structure of the causative mass.…”

Section: Introductionmentioning

confidence: 99%

“…We have generalized this approach and derived simple relations to specify the density structure of the causative mass. Many of the existing graphical or numerical techniques for interpretation of two dimensional gravity anomalies (Hubbert 1948, Dobrin 1952Bott rg6o ;and Negi and Garde 1969) may be modified to include this procedure. The method has been applied to a gravity profile across the Godavari Basin (India).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Separation of Two‐dimensional Residual Gravity Anomalies Using Lateral Density Variation *

Singh

Garde

1974

Geophysical Prospecting

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A set of parabolae is defined to approximate the observed gravity profile for specifying the lateral density variation in a two dimensional causative body. This variation separates the “biased” as well as “unbiased” residual anomaly structure. The method may be directly incorporated into existing numerical and graphical techniques of interpretation for subsequent delineation of structural configuration. The simple relations derived by inspection of the observed gravity profile permit universal application of the technique and in particular for the determination of the size and shape of sub‐shelf structures. The suitability of the method in various problems of two dimensional interpretation has been indicated through an illustration of the Godavari Basin (India).

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“…In the limiting case a~/a~ = I, thus equation (IO) is identical to equation (9) and the residual field is unbiased. Hence similar results as those of Negi and Garde (1969) are obtained.…”

Section: Theorysupporting

confidence: 91%

Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Separation of Two‐dimensional Residual Gravity Anomalies Using Lateral Density Variation *

Singh

Garde

1974

Geophysical Prospecting

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“…Geological Survey. The HOLLIN program is based upon the two-dimensional iterative programs described by Bott (1960) and Negi and Garde (1969). The program assumes that the Cenozoic rocks along a profile can be represented by many vertical prisms that are rectangular in cross section and that are very long normal to the profile.…”

Section: T H E G R a V I T Y Methodsmentioning

confidence: 99%

Statistical Analysis of the Gravity Method of Calculating the Depth to the Pre‐cenozoic Surface in Yucca Flat, Nevada Test Site*

Brethauer

Healey

Miller

1981

Geophysical Prospecting

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Thirty-eight gravity method estimates of the depth to the pre-Cenozoic surface under Yucca Flat are used to determine the statistical accuracy associated with the gravity method. Results indicate that the gravity method tends to overestimate the depth to the pre-Cenozoic surface, on the average, by 3.5 m with a standard deviation of 75.2 m. N o significant change of this statistical estimate was observed with (1) depth, (2) location, or (3) date when the gravity-method estimate was made.

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Research and Application of Three‐Dimensional Density Interface Inversion

Feng

Meng

Chen

et al. 2014

Chinese J of Geophysics

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Based on the Fourier transform, the Parker-Oldenburg algorithm in the frequency domain was extended to the three-dimensional case in which the density changes with depth. From this, a gravity interface inversion formula was derived in which the assumed density varies laterally and vertically. Iterative convergence is assured by fixing a particular depth as the datum plane below the surface to reduce the interface fluctuation. The results of an example of synthetic gravity data indicate that the proposed method has high precision and rapid convergence, with high practical value for the inversion of density interfaces. This method was also used to determine the Moho depth beneath northern China. The results were verified by seismic sounding data.

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Symmetric matrix method for rapid gravity interpretation

Cited by 15 publications

References 6 publications

Separation of Two‐dimensional Residual Gravity Anomalies Using Lateral Density Variation *

Separation of Two‐dimensional Residual Gravity Anomalies Using Lateral Density Variation *

Statistical Analysis of the Gravity Method of Calculating the Depth to the Pre‐cenozoic Surface in Yucca Flat, Nevada Test Site*

Research and Application of Three‐Dimensional Density Interface Inversion

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