Part-IV-Flow-2D

# Part-IV-Flow-2D - 1 Prof M Santagata CE 383 GROUNDWATER...

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Unformatted text preview: 1 Prof. M. Santagata CE 383 GROUNDWATER FLOW SLIDE 1 PART IV- B 2D FLOW: FLOW NETS Â¡ INTRODUCTION Â¡ LAPLACEâ€™S EQUATION OF CONTINUITY Â¡ FLOW LINES AND EQUIPOTENTIAL LINES Â¡ FLOW NET FOR 1D FLOW Â¡ FLOW NETS FOR 2D FLOW Prof. M. Santagata CE 383 GROUNDWATER FLOW SLIDE 2 Â¡ INTRODUCTION In many cases the flow of water through soil is NOT in one direction, nor is it uniform over the entire area perpendicular to flow. In such cases the groundwater flow is generally calculated using FLOW NETS . The concept of flow net is based on LAPLACEâ€™S EQUATION OF CONTINUITY. Impermeable layer 2D FLOW: FLOW NETS 2 Prof. M. Santagata CE 383 GROUNDWATER FLOW SLIDE 3 dx dz dy x z Â¡ LAPLACEâ€™S EQUATION OF CONTINUITY x z v z dxdy (v z + âˆ‚ v z / âˆ‚ z dz)dxdy (v x + âˆ‚ v x / âˆ‚ x dx)dzdy v x dzdy ` ` Assuming: â€¢ water is incompressible and â€¢ no volume change occurs in the mass TOTAL RATE OF INFLOW = TOTAL RATE OF OUTFLOW ( [ ) ( ) [ = âŽ¥ âŽ¦ âŽ¤ + âˆ’ âŽ¥ âŽ¦ âŽ¤ + + + âˆ‚ âˆ‚ âˆ‚ âˆ‚ dxdy v dzdy v dxdy dz z v v dzdy dx x v v z x z z x x Prof. M. SantagataProf....
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Part-IV-Flow-2D - 1 Prof M Santagata CE 383 GROUNDWATER...

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