## Electromagnetic Surface Fields Due to a Magnetic Dipole Buried in a Three-layered Earth |

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2klh 9 Curve 9 IO H H 9 l0 H H A+k2 AZTOZ boundary conditions Bureau of Mines computer program current density current loop derived dipole source e e e EARTH By Steven eight equations electric field electrical conductivity ELECTROMAGNETIC SURFACE FIELDS electromagnetic trapped miner explicit form expressions field is _ field layer parameters field solutions field strength fields are k2h Fourier—Bessel integral frequency graphs H H FIGURE Hertz homogeneous half-space homogeneous half—space model Ia J1 Aa Jo(xD)e dx k2c k2c KEY Curve Variables loop antenna Loop z=—c Magnetic dipole buried magnetic surface field Maxwell's equations Mines electromagnetic trapped numerical integration Numerical values o=ooo R23e e e region Rlze source term subsurface SURFACE FIELDS DUE THREE-LAYERED EARTH three—layered model tion trapped miner location two-layered Variables _ various field layer Vertical component vertical magnetic field wave number wave propagation