SOLUTION OF A STATIC MIXED BOUNDARY-VALUE PROBLEM

A wide class of electromagnetic problems can be expressed as a system of dual integral equations. These kinds of integral equations occur in boundary value problems wherein there is one integral equation for a certain region, and another for the rest of the region. In this paper it is shown that the equation for the potential distribution due to an insulating cylinder column with a band electrode in a conducting spac e, representing a well logging problem, can be put into a standard for m of dual integral equations, which can then be transformed into a sys tem of linear equation by means of a Neumann series. A general method to compute the coefficients of the linear system is discussed in order to obtain some approximate formulas and the plot of the conductance a s a function of the ratio alpha/Delta (radius/half-length of the cylin der column). (C) 1998 Elsevier Science B.V. All rights reserved.