Nomogram for the direct interpretation of magnetic anomalies due to long horizontal cylinders

Geophysics ◽  
1986 ◽  
Vol 51 (11) ◽  
pp. 2156-2159 ◽  
Author(s):  
T. K. S. Prakasa Rao ◽  
M. Subrahmanyam ◽  
A. Srikrishna Murthy
Keyword(s):  
Direct Method ◽  
Linear Equations ◽  
Arbitrary Point ◽  
Magnetic Anomalies ◽  
Horizontal Cylinder ◽  
Empirical Method ◽  
Master Curves ◽  
Hilbert Transforms ◽  
Direct Interpretation ◽  
Horizontal Cylinders

One of the widely used geometrical configurations for magnetic interpretation is the long horizontal circular cylinder. Gay (1965) provides a set of master curves for the interpretation of magnetic anomalies of these bodies. Rao et al. (1973) formulates functions of the anomaly at several distances from an arbitrary point, and the linear equations thus formed are solved for coefficients related to the parameters of the causative body. Prakasa Rao and Murthy (1976) propose an empirical method for rapid interpretation. Atchuta Rao and Ram Babu (1980), Mohan et al. (1982), and Sampath Kumar and Prakasa Rao (1984) describe methods based on Hilbert transforms. Radhakrishna Murthy et al. (1980) propose a method based on two components of the anomalous magnetic field. With the exception of the direct method of Prakasa Rao and Murthy (1976), the other methods mentioned involve reduction of field curves and then matching with master curves, solving linear equations, performing Hilbert transformations, and computation of derivatives, respectively. Hence they are not suitable for direct and rapid interpretation. This note contains a simple nomogram for the magnetic effect due to an arbitrarily magnetized horizontal cylinder.

On: “Nomogram for the direct interpretation of magnetic anomalies due to long horizontal cylinders,” by T. K. S. Prakasa Rao, M. Subrahmanyam, and A. Srikrishna Murty, (GEOPHYSICS, 51, 2156–2159, November 1986.)

Geophysics ◽  
1987 ◽  
Vol 52 (10) ◽  
pp. 1442-1443
Author(s):  
Ronald Green
Keyword(s):  
Magnetic Anomaly ◽  
Magnetic Anomalies ◽  
Horizontal Cylinder ◽  
Direct Interpretation ◽  
Horizontal Cylinders

In the article by T. K. S. Prakasa Rao, M. Subrahmanyam, and A. Srikrishna Murty, the trivial problem of interpreting the magnetic anomaly over a horizontal cylinder was examined and a set of nomograms to assist with the interpretation was presented. Prakasa Rao et al. begin their discussion with equation (1) from Gay (1965).

A METHOD FOR THE DIRECT INTERPRETATION OF MAGNETIC ANOMALIES CAUSED BY TWO‐DIMENSIONAL VERTICAL FAULTS

Geophysics ◽  
1978 ◽  
Vol 43 (1) ◽  
pp. 179-188 ◽  
Author(s):  
I. R. Qureshi ◽  
A. M. Nalaye
Keyword(s):  
New South ◽  
Ground Surface ◽  
Magnetic Anomalies ◽  
Two Dimensional ◽  
Field Profile ◽  
Master Curves ◽  
Antisymmetric Part ◽  
Western Margin ◽  
South Wales ◽  
Direct Interpretation

The magnetic anomaly profile across a two‐dimensional block faulted at right angles to the ground surface looks very similar to the anomaly profile across a dike and can be decomposed into a symmetric part and an antisymmetric part. Following Koulomzine et al (1970), these parts are separately analyzed and expressions for diagnostic parameters derived. The values of these parameters, obtained from the components of a field profile, help in distinguishing the source (dike or faulted block) and in determining the geometry of the block analytically or with the aid of six master curves. Some features of the application and sensitivity of the method are discussed. Field examples are given from the western margin of the Perth basin in Western Australia and from Lachlan foldbelt in New South Wales.

A direct method of interpreting gravity and magnetic anomalies: The case of a horizontal cylinder

1973 ◽  
Vol 102 (1) ◽  
pp. 67-72 ◽  
Author(s):  
B. S. R. Rao ◽  
I. V. Radhakrishna Murthy ◽  
C. Visweswara Rao
Keyword(s):  
Direct Method ◽  
Magnetic Anomalies ◽  
Horizontal Cylinder ◽  
Gravity And Magnetic ◽  
A Direct Method

Relationship of magnetic anomalies due to subsurface features and the interpretation of sloping contacts

Geophysics ◽  
1980 ◽  
Vol 45 (1) ◽  
pp. 32-36 ◽  
Author(s):  
D. Atchuta Rao ◽  
H. V. Ram Babu ◽  
P. V. Sanker Narayan
Keyword(s):  
Magnetic Anomaly ◽  
Magnetic Anomalies ◽  
Horizontal Cylinder ◽  
Horizontal Derivative ◽  
Horizontal Cylinders ◽  
Relationship Of

A study of the magnetic anomalies produced by sloping geologic contacts, thin dikes, and horizontal cylinders has revealed that a single relationship exists among the magnetic anomalies created by them. The magnetic anomaly due to a horizontal cylinder, the first horizontal derivative of the magnetic anomaly due to a thin dike, and the second horizontal derivative of the magnetic anomaly due to a sloping contact are found to be identical in shape. Gay (1963, 1965) presented standard curves to interpret the magnetic anomalies over long tabular bodies (1963) and long horizontal cylinders (1965). It is shown here that the same curves can also be used to interpret the total, vertical and horizontal magnetic anomalies due to sloping geologic contacts.

A General Correlation for Pool Film Boiling Heat Transfer From a Horizontal Cylinder to Subcooled Liquid: Part 2—Experimental Data for Various Liquids and Its Correlation

1990 ◽  
Vol 112 (2) ◽  
pp. 441-450 ◽  
Author(s):  
A. Sakurai ◽  
M. Shiotsu ◽  
K. Hata
Keyword(s):  
Heat Transfer ◽  
Experimental Data ◽  
Analytical Solution ◽  
Boiling Heat Transfer ◽  
Radiation Effects ◽  
Approximate Analytical Solution ◽  
Horizontal Cylinder ◽  
Film Boiling ◽  
System Pressure ◽  
Horizontal Cylinders

Experimental data of pool film boiling heat transfer from horizontal cylinders in various liquids such as water, ethanol, isopropanol, Freon-113, Freon-11, liquid nitrogen, and liquid argon for wide ranges of system pressure, liquid subcooling, surface superheat and cylinder diameter are reported. These experimental data are compared with a rigorous numerical solution and an approximate analytical solution derived from a theoretical model based on laminar boundary layer theory for pool film boiling heat transfer from horizontal cylinders including the effects of liquid subcooling and radiation from the cylinder. A new correlation was developed by slightly modifying the approximate analytical solution to agree better with the experimental data. The values calculated from the correlation agree with the authors’ data within ± 10 percent, and also with other researchers’ data for various liquids including those with large radiation effects, though these other data were obtained mainly under saturated conditions at atmospheric pressure.

scholarly journals Determinantal Representations of the Core Inverse and Its Generalizations with Applications

2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Ivan I. Kyrchei
Keyword(s):  
Direct Method ◽  
Linear Equations ◽  
Close Relation ◽  
Numerical Example ◽  
Determinantal Representation ◽  
The Core ◽  
Core Inverse ◽  
Cramer’S Rule ◽  
The Right

In this paper, we give the direct method to find of the core inverse and its generalizations that is based on their determinantal representations. New determinantal representations of the right and left core inverses, the right and left core-EP inverses, and the DMP, MPD, and CMP inverses are derived by using determinantal representations of the Moore-Penrose and Drazin inverses previously obtained by the author. Since the Bott-Duffin inverse has close relation with the core inverse, we give its determinantal representation and its application in finding solutions of the constrained linear equations that is an analog of Cramer’s rule. A numerical example to illustrate the main result is given.

scholarly journals TWO-PHASE FLOW SIMULATIONS OF SCOUR AROUND VERTICAL AND HORIZONTAL CYLINDERS

2018 ◽  
pp. 22
Author(s):  
Tim Nagel ◽  
Julien Chauchat ◽  
Cyrille Bonamy ◽  
Antoine Mathieu ◽  
Xiaofeng Liu ◽  
...  
Keyword(s):  
Sediment Transport ◽  
Two Phase Flow ◽  
Numerical Data ◽  
Horizontal Cylinder ◽  
Transport Processes ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Solver ◽  
Sediment Bed ◽  
Horizontal Cylinders

Scour around structures is a major engineering issue that requires a detailed description of the flow field as well as sediment transport processes. Due to enhanced suspended load associated with vortices generated around structures, sediment transport cannot be solely related to bed shear stress, such as Shields parameter based formula. In order to address this issue, we used a multi-dimensional two-phase flow solver, sedFoam-2.0 (Chauchat et al., GMD 2017) implemented under the open-source CFD toolbox OpenFOAM. Three configurations are studied and compared with experimental and numerical data from the literature. First, the 2D configurations of an horizontal cylinder lying on a sediment bed (Mao, 1986; Sumer et al., 2001) are investigated. Then, the 3D configuration of the scour around a vertical cylindrical pile reported by Roulund et al. (2005) for rigid-bed and live bed cases is investigated.

A computer program for interpreting vertical magnetic anomalies of spheres and horizontal cylinders

1973 ◽  
Vol 110 (1) ◽  
pp. 2056-2065 ◽  
Author(s):  
B. S. R. Rao ◽  
I. V. Radhakrishna Murthy ◽  
C. Visweswara Rao
Keyword(s):  
Computer Program ◽  
Magnetic Anomalies ◽  
Horizontal Cylinders

THE RESOLUTION OF COMBINED EFFECTS, WITH APPLICATIONS TO GRAVITATIONAL AND MAGNETIC DATA

Geophysics ◽  
1938 ◽  
Vol 3 (4) ◽  
pp. 315-331 ◽  
Author(s):  
Thomas A. Elkins ◽  
Sigmund Hammer
Keyword(s):  
Mathematical Method ◽  
Field Method ◽  
Magnetic Data ◽  
Combined Effects ◽  
Magnetic Intensity ◽  
Geophysical Field ◽  
Direct Interpretation ◽  
Minimum Separation ◽  
Horizontal Cylinders ◽  
Selection Of

A simple but rigorous and quite general mathematical method is given for finding the minimum separation of two nearby bodies at which their observed combined effect indicates the presence of two separate bodies. Geophysical applications of the method are illustrated by investigating the resolution of gravity and torsion balance data for the two limiting cases of spheres and infinite horizontal cylinders, the resolution of the vertical magnetic intensity for infinite rectangular plugs, and the direct interpretation of the infinite horizontal rectangular block. The possible usefulness of such analysis in the selection of a geophysical field method and in the choice of station spacing is discussed.

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