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L9-page6 - consisting of a series of horizontal beds that...

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6 Governing Equation - Solution The Laplace’s equation is a homogeneous, partial second order differential equation • Solution: Exact solutions: only for simple geometries Graphical solutions: Flow nets, master charts Numerical solutions: finite difference and finite elements solutions Approximate solutions: methods of fragments Physical analogies (electrical, hydraulic and heat flow) Geo-electric Layering Often the earth can be simplified within the region of our measurement as
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Unformatted text preview: consisting of a series of horizontal beds that are infinite in extent. • Goal of the resistivity survey is then to determine thickness and resistivity of the layers. Longitudinal conductance (one layer): S L =h/ ρ =h σ Transverse resistance (one layer): T=h ρ Longitudinal resistivity (one layer): ρ L =h/S Transverse resistivity (one layer): ρ T =T/h Longitudinal conductance (one layer): S L = Σ( h i / ρ i ) Transverse resistance (one layer): T= Σ (h i ρ i )...
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  • Spring '09
  • wei
  • Partial differential equation, order differential equation, Longitudinal conductance, longitudinal resistivity

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