Computer Modelling of Electrical Conductivity Structures
暂无分享，去创建一个
The study of the Earth by means of its natural clcctromagnetic field has received a stimulus with the development of numerical solutions of Maxwell's equations for two-dimensional conductivity structures (Madden & Swift 1969; Wright 1970). In particular, Jones & Pascoe (1971) and Pascoe & Jones (1972) have published general computer programs which have received widespread application. It is the purpose of this note to reveal and discuss an error in their mathematical derivation. The Taylor's Series expansions illustrated on p. 7 of Jones & Pascoe (1971) can be solved for ( d f f l ~ 3 y ~ ) ~ and (d2fdz2), by Cramer's Rule or by algebraic manipulation. Substitution into their equation (10) yields
[1] F. W. Jones,et al. A General Computer Program to Determine the Perturbation of Alternating Electric Currents in a Two-Dimensional Model of a Region of Uniform Conductivity with an Embedded Inhomogeneity , 1971 .
[2] F. W. Jones,et al. Boundary Conditions and Calculation of Surface Values for the General Two-Dimensional Electromagnetic Induction Problem , 1972 .
[3] J. Wright. Anisotropic apparent resistivities arising from non-homogeneous, two-dimensional structures , 1970 .