This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: 1 Prof. M. Santagata CE 383 GROUNDWATER FLOW SLIDE 1 PART IV- B 2D FLOW: FLOW NETS INTRODUCTION LAPLACES EQUATION OF CONTINUITY FLOW LINES AND EQUIPOTENTIAL LINES FLOW NET FOR 1D FLOW FLOW NETS FOR 2D FLOW Prof. M. Santagata CE 383 GROUNDWATER FLOW SLIDE 2 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 LAPLACES EQUATION OF CONTINUITY. Impermeable layer 2D FLOW: FLOW NETS 2 Prof. M. Santagata CE 383 GROUNDWATER FLOW SLIDE 3 dx dz dy x z LAPLACES EQUATION OF CONTINUITY x z v z dxdy (v z + v z / z dz)dxdy (v x + v x / x dx)dzdy v x dzdy ` ` Assuming: water is incompressible and no volume change occurs in the mass TOTAL RATE OF INFLOW = TOTAL RATE OF OUTFLOW ( [ ) ( ) [ = + + + + dxdy v dzdy v dxdy dz z v v dzdy dx x v v z x z z x x Prof. M. SantagataProf....
View Full Document
- Spring '07
- Geotechnical Engineering