To: “Analysis of gravity anomalies of sedimentary basins by an asymmetrical trapezoidal model with quadratic density function” by D. B. Rao in GEOPHYSICS (55, 226–231).

Geophysics ◽  
1990 ◽  
Vol 55 (5) ◽  
pp. 639-639
Keyword(s):  
Density Function ◽  
Gravity Anomalies ◽  
Sedimentary Basins ◽  
Quadratic Density Function

The following is the correct illustration for Figure 1 on p. 227:

Analysis of gravity anomalies of sedimentary basins by an asymmetrical trapezoidal model with quadratic density function

Geophysics ◽  
1990 ◽  
Vol 55 (2) ◽  
pp. 226-231 ◽  
Author(s):  
D. Bhaskara Rao
Keyword(s):  
Density Function ◽  
Quadratic Function ◽  
Gravity Anomalies ◽  
Sedimentary Basins ◽  
Variable Density ◽  
Constant Density ◽  
Quadratic Density Function ◽  
Marquardt Algorithm ◽  
Damping Parameter ◽  
Godavari Basin

The decrease of density contrast with depth in many sedimentary basins can be approximated by a quadratic function. The interpretation of gravity anomalies over sedimentary strata can be more realistic if variable density contrasts, rather than constant density contrasts, are assumed. I derive the equation for the gravity anomaly of an asymmetrical trapezoidal model, assuming a quadratic density function, and I develop methods of interpretation, using the Marquardt algorithm. While interpreting a synthetic anomaly profile, the convergence of the algorithm is shown by plotting the values of the objective function, damping parameter, and various parameters of the model with respect to iteration number; the results are superior to those obtained when using constant density contrasts. In addition, I apply the method in the interpretation of gravity anomalies over the San Jacinto graben and the lower Godavari basin.

A new sedimentary cover model for the southern area of the East European Platform and the Pre-Caucasus based on decompensation gravity anomalies data

2021 ◽  
Author(s):  
Mikhail Kaban ◽  
Alexei Gvishiani ◽  
Roman Sidorov ◽  
Alexei Oshchenko ◽  
Roman Krasnoperov
Keyword(s):  
East European Platform ◽  
Sedimentary Cover ◽  
Gravity Anomalies ◽  
Sedimentary Basins ◽  
The Caucasus ◽  
Near Surface ◽  
New Model ◽  
Origin And Evolution ◽  
East European ◽  
Bouguer Anomalies

<p><span>A new model has been developed for the density and thickness of the sedimentary cover in a vast region at the junction of the southern part of the East European Platform, the Pre-Caucasus and some structures adjacent to the south, including the Caucasus. Structure and density of sedimentary basins was studied by employing the approach based on decompensation of gravity anomalies. Decompensative correction for gravity anomalies reduces the effect of deep masses providing compensation of near-surface density anomalies, in contrast to the conventional isostatic or Bouguer anomalies. . The new model of sediments, which implies their thickness and density, gives a more detailed description of the sedimentary thickness and density and reveals new features which were not or differently imaged by previous studies. It helps in better understanding of the origin and evolution of the basins and provides a background for further detailed geological and geophysical studies of the region.</span></p>

Gravity interpretation using Fourier transforms and simple geometrical models with exponential density contrast

Geophysics ◽  
1993 ◽  
Vol 58 (8) ◽  
pp. 1074-1083 ◽  
Author(s):  
D. Bhaskara Rao ◽  
M. J. Prakash ◽  
N. Ramesh Babu
Keyword(s):  
Los Angeles ◽  
Fourier Transforms ◽  
Gravity Data ◽  
Gravity Anomalies ◽  
Sedimentary Basins ◽  
Density Contrast ◽  
Model Parameters ◽  
Exponential Density ◽  
Exponential Density Contrast ◽  
Gravity Interpretation

The decrease of density contrast in sedimentary basins can often be approximated by an exponential function. Theoretical Fourier transforms are derived for symmetric trapezoidal, vertical fault, vertical prism, syncline, and anticline models. This is desirable because there are no equivalent closed form solutions in the space domain for these models combined with an exponential density contrast. These transforms exhibit characteristic minima, maxima, and zero values, and hence graphical methods have been developed for interpretation of model parameters. After applying end corrections to improve the discrete transforms of observed gravity data, the transforms are interpreted for model parameters. This method is first tested on two synthetic models, then applied to gravity anomalies over the San Jacinto graben and Los Angeles basin.

Gravity and Deep Structure of the Continental Margin of Banks Island and Mackenzie Delta

1975 ◽  
Vol 12 (3) ◽  
pp. 378-394 ◽  
Author(s):  
L. W. Sobczak
Keyword(s):  
Continental Margin ◽  
Coastal Plain ◽  
Deep Structure ◽  
Gravity Anomalies ◽  
Sedimentary Basins ◽  
Drill Hole ◽  
The Arctic ◽  
Mackenzie Delta ◽  
Arctic Coastal Plain ◽  
Free Air Gravity

Regional and deep structure supported by drill hole, gravity, and seismic evidence is interpreted along five profiles—one across the Mackenzie Delta and four across the continental margin. Isostatic compensation has reduced the gravity effect of most structures but gravity anomalies are still sufficient to outline two major sedimentary basins—one very extensive and thick (>10 km) underlying the continental margin and Mackenzie Delta and the other narrow and shallow east and southeast of the Arctic Coastal Plain. A basement ridge separating these basins along the eastern side of the Arctic Coastal Plain is outlined by a trend of relative gravity highs.An arcuate belt of prominent elliptically-shaped free air gravity highs (peak values >100 mgal) over the continental break outlines an uncompensated region of mass excesses. These mass excesses are explained by pro-grading wedges (>2 km thick) of Quaternary and possibly Tertiary sediments that have displaced seawater and act as a load on the crust rather than by the alternative concepts of an uncompensated ridge or high density material in the basement.

A Hybrid PCG- Bat Algorithm for 2D Gravity Inversion: Applications for Ore Deposits Exploration and Interpretation of Sedimentary Basins

2020 ◽  
Author(s):  
Mohamed Abdrabou ◽  
Maha Abdelazeem ◽  
Mohamed Gobashy
Keyword(s):  
Conjugate Gradient ◽  
Hybrid Algorithm ◽  
2D Gravity ◽  
Gravity Data ◽  
Gravity Anomalies ◽  
Sedimentary Basins ◽  
Bat Algorithm ◽  
Ore Deposits ◽  
Preconditioned Conjugate Gradient ◽  
Residual Gravity

<p>Geophysical data such as gravity data can be inverted to get a subsurface image, which depicts the subsurface distribution of physical property. Consequently, inversion of geophysical data has an effective role for interpreting measured geophysical anomalies in hydrocarbons and mineral applications. Interest about ore deposits exploration and sedimentary basins interpretation is associated with their economic importance. The presence of sedimentary basins gives lower amplitude of gravity anomalies with negative signals, due to the negative density contrast as these sedimentary basins have lower density than that of the neighboring basement rocks. In prospecting ore deposits, studying the spatial distributions of densities in the subsurface is essential of significance.Two dimensional forward modelling strategy can be done via locating the rectangular cells with fixed size directly underneath the location of the observed data points using regular grid discretization. Density vector of the subsurface rectangular cells are obtained via solving the 2D gravity inverse problem by optimizing an objective function (i.e., the differences between observed and inverted residual gravity data sets). In this work, a hybrid algorithm merging a bat (BAT) algorithm with the preconditioned conjugate gradient (PCG) method is suggested as a mean for inverting surface gravity anomalies to obtain the density distribution in the subsurface. Like the hybrid, minimization algorithm has the capability to make use of the advantages of both two techniques. In this hybrid algorithm, the BAT algorithm was utilized to construct an initial solution for the PCG technique. The BAT optimizer acts as a rapid build-up of the model, whereas the second modifies the finer model approximated solution. This modern algorithm was firstly applied on a free-noise synthetic data and to a noisy data with three different levels of random noise, and good results obtained through the inversion. The validity and applicability of our algorithm are applied to real residual gravity anomalies across the San Jacinto graben in southern California, USA, and Sierra Mayor - Sierra Pinta graben, USA and prospecting of the Poshi Cu-Ni deposits, Xinjiang, northwest China. The obtained results are in excellent accordance with those produced by researchers in the published literature.</p><p> </p><p><strong>Keywords: </strong>Gravity data, 2D Inversion, BAT algorithm, Preconditioned Conjugate Gradient, Sedimentary Basins.</p>

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