A method for calculating mise-à-la-masse anomalies in the case of high conductivity contrast by the integral equation technique

Eloranta, E.

doi:10.1016/0016-7142(84)90030-9

Cited by 19 publications

(19 citation statements)

References 8 publications

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“…It may be thought that since the above equations are essentially the same as the results presented by Eloranta (1984) the technique does not require any further validation. However, the present implementation involves several aspects that are new and so requires evaluation.…”

Section: Discussionmentioning

confidence: 82%

“…The technique described by Eloranta (1984), on the other hand, can be used with no difficulty. The technique described by Eloranta (1984), on the other hand, can be used with no difficulty.…”

Section: Discussionmentioning

confidence: 99%

“…It has been suggested by Eloranta (1984) that the perfectly conductive condition can reasonably be assumed for a conductivity ratio in excess of 100 for most body geometries. Moreover, it is as well to point out that their application depends on the assumed model of a perfect conductor.…”

Section: Discussionmentioning

confidence: 99%

“…The use of a perfect conductor in the context of mise-à-la-masse interpretation has been justified by Eloranta (1984). The use of a perfect conductor in the context of mise-à-la-masse interpretation has been justified by Eloranta (1984).…”

Section: Introductionmentioning

confidence: 99%

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Mise‐à‐la‐masse interpretation using a perfect conductor in a piecewise uniform earth

Furness

1999

Geophysical Prospecting

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A useful analysis of the mise‐à‐la‐masse problem can be made by considering a perfectly conducting orebody in a piecewise uniform conducting earth. While the use of a perfect conductor is clearly an idealization of the true geological conditions it provides several advantages for the present purpose. The electric field associated with the above model can be expressed in terms of a surface integral of the normal potential gradient over the boundary of the conductor, where the normal gradient satisfies a well‐posed Fredholm integral equation of the first kind. This integral equation formulation remains unchanged when the conductor is arbitrarily located in the conducting earth, including the important case when it crosses surfaces of conductivity discontinuity. Moreover, it is readily specialized to the important case of a thin, perfectly conductive lamina. Consideration of the boundary value problem relevant to a conductive body fed by a stationary current source suggests that under certain circumstances, equivalent mise‐à‐la‐masse responses will result from any perfect conductor confined by the equipotential surfaces of the original problem. This type of equivalence can only be reduced by extending the potential measurements into or on to the conductor itself. This ambiguity in the interpretation of mise‐à‐la‐masse surveys suggests a simple if approximate integral solution to the mise‐à‐la‐masse problem. The solution is suitable for modelling the responses of perfect conductors and could possibly be used as the basis of a direct inversion scheme for mise‐à‐la‐masse data.

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Section: Discussionmentioning

confidence: 82%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mise‐à‐la‐masse interpretation using a perfect conductor in a piecewise uniform earth

Furness

1999

Geophysical Prospecting

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“…The scattering field can be described by a surface distribution of charges or potential on the body that is typically used for electrical resistivity modelling (Dieter, Paterson and Grant 1969;Snyder 1976;Eskola 1979;Hvozdara 1982Hvozdara , 1983Eloranta 1984). The body, within a homogeneous or layered halfspace, has an effect on the potential field which is commonly referred to as the scattering or secondary field.…”

Section: Basic Theorymentioning

confidence: 99%

EFFECTS OF WELL CASING ON POTENTIAL FIELD MEASUREMENTS USING DOWNHOLE CURRENT SOURCES¹

Schenkel

Morrison

1990

Geophysical Prospecting

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A mathematical formulation for the electric potential from point current‐sources coaxial with a metal casing has been obtained. The excitation caused by the axial point‐sources will produce currents in the pipe. By assuming that the pipe can be divided into many cylindrical ring segments with constant axially‐directed current, the solution of the fields inside and outside the pipe can be formulated in an integral form. The integral equation applied to the segmented pipe yields a set of simultaneous linear equations which are solved for the currents in the pipe; these are then used to calculate the potentials anywhere outside the pipe in the medium. This solution has been used to study the distribution of the potentials in a half‐space for a single current‐source at and beyond the bottom of a finite length of casing. For a casing 0.1 m in radius and 0.006 m in wall thickness with a conductivity of 106 S/m, in a half‐space of 10‐2 S/m, it was found that only in a region very near the pipe does the pipe exert substantial influence on the fields of a point‐source 100 casing diameters beyond the end of the pipe. It appears that cross‐hole resistivity surveys can be implemented without corrections for the casing if the source is located at least 50–100 casing diameters beyond the end of the casing. Hole‐to‐surface surveys are much more affected by the pipe. For a pipe‐source separation of 100 casing diameters, the surface measurements must not be closer than a half pipe length for a 5% or less field distortion.

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Mathematical Modelling

Roy¹

2020

Natural Electromagnetic Fields in Pure and Applied Geophysics

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A method for calculating mise-à-la-masse anomalies in the case of high conductivity contrast by the integral equation technique

Cited by 19 publications

References 8 publications

Mise‐à‐la‐masse interpretation using a perfect conductor in a piecewise uniform earth

Mise‐à‐la‐masse interpretation using a perfect conductor in a piecewise uniform earth

EFFECTS OF WELL CASING ON POTENTIAL FIELD MEASUREMENTS USING DOWNHOLE CURRENT SOURCES¹

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A method for calculating mise-à-la-masse anomalies in the case of high conductivity contrast by the integral equation technique

Cited by 19 publications

References 8 publications

Mise‐à‐la‐masse interpretation using a perfect conductor in a piecewise uniform earth

Mise‐à‐la‐masse interpretation using a perfect conductor in a piecewise uniform earth

EFFECTS OF WELL CASING ON POTENTIAL FIELD MEASUREMENTS USING DOWNHOLE CURRENT SOURCES1

Mathematical Modelling

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EFFECTS OF WELL CASING ON POTENTIAL FIELD MEASUREMENTS USING DOWNHOLE CURRENT SOURCES¹