Advanced detection method for three-direction apparent polarizability of underground tunnel
A technology of advanced detection and polarizability, which is used in measurement devices, geophysical measurements, and electrical/magnetic exploration.
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[0029] Embodiment: (numerical simulation)
[0030] The present invention simulates a fault with an infinite plate-shaped body in the whole space to solve the electric field distribution. Assuming that the resistivity of the whole space medium is ρ 0 , any power point A in this medium supplies power, and there is another one with thickness a and resistivity ρ a A uniform infinite plate-shaped body, the distance from point A to the plate-shaped body is d. The plate-shaped body divides this whole space into the active ρ 0 Medium region, infinite plate-like body ρ a Medium and passive ρ 0The three parts of the medium area, except the power point A, all satisfy the Laplace equation:
[0031] Δ 2 u 1 = 0 (active ρ 0 Medium area, except point A)
[0032] Δ 2 u 2 =0(infinite plate-shaped body ρ a medium)
[0033] Δ 2 u 3 = 0 (passive ρ 0 medium area)
[0034] Taking point A of the power supply as the origin of coordinates, Figure 4 (a), the plate-shaped body is upri...
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