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K = K xx K xy K xz K yx K yy K yz K zx K zy K zz K xx, K yy, K zz are the principal components of K K is a tensor with 9 components
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K xx K xy K xz K yx K yy K yz K zx K zy K zz qxqyqzqxqyqz = - q = - K grad h
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x z x’ z’ globallocal K xx K xy K xz K yx K yy K yz K zx K zy K zz K’ x 0 0 0 K’ y 0 0 0 K’ z [K] = [R] -1 [K’] [R]
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x z x’ z’ global local grad h q K z ’=0 Assume that there is no flow across the bedding planes
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General governing equation for steady-state, heterogeneous, anisotropic conditions, without a source/sink term with a source/sink term
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2D horizontal flow; homogeneous and isotropic aquifer with constant aquifer thickness, b, so that T=Kb. Poisson Eqn.
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x y ocean R= 0.00305 ft/d T= 10,000 ft 2 /day L = 12,000 ft 2L L C.E. Jacob’s Island Recharge Problem ocean well
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b h ocean groundwater divide C.E. Jacob’s Island Recharge Problem R x = 0x = Lx = - L We can treat this system as a “confined” aquifer if we assume that T= Kb. datum
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