The magnetic total magnetic intensity (TMI) grid data of the Riqueza Project geophysical survey of the four areas, discussed above, was analysed to produce new 3D inversions models using the Geosoft

magnetic vector inversion (MVI) code.

where [j.sub.k] is the current density of one of current systems; [A.sub.i] is the

magnetic vector potential created by another (at i[not equal to]k) or the same (at i = k) system in the region of current flow.

In particular, the

magnetic vector potential A (hereafter [A.sub.MP]) is chosen such that it obeys the Coulomb gauge; i.e., [nabla] x [A.sub.MP] = 0; otherwise one can add a gradient of any scalar [nabla][XI] to obtain a variation of the vector potential [A.sup.!] = [A.sub.M] + [nabla][XI].

Primary variables in GL model are order parameter, [psi], and

magnetic vector potential, A, occupying a superconductor sample in a three-dimensional region [OMEGA] having boundary [GAMMA].

where the vector components u [right arrow] ([u.sub.x], [u.sub.y], [u.sub.z]), v [right arrow] ([v.sub.x], [v.sub.y], [v.sub.z]) are analogous to electric and

magnetic vector potentials of dyons while the scalar components (h, k) are analogous to their scalar potentials.

Then partial differential equation of

magnetic vector potential distribution outside the particle is given by

The

magnetic vector potential is then the sum of both thermal and fluid contributions, for each particle.

Moreover, the

magnetic vector potential in regions I and IX must be finite at y = [infinity] and y = -[infinity], respectively.

"We also didn't realize, being a three-inch sphere, that the circuitry would be 1.5 inches above a floor that has varying levels of rebar and reinforcement, that would completely destroy any chance we could ever have of reading a

magnetic vector reliably."

Femm goes about finding a field that satisfies (4) and (6) via

magnetic vector potential approach.

The

magnetic vector potential A can be employed to obtain the electromagnetic equations needed for a complete description of the system.

So

magnetic vector B(r') in any point r'= (X, Y, Z) of the laboratory system is equal to the

magnetic vector B(r) in the point r = (X - vt, Y, Z) of the moving one.