sma07 - Flow Nets for Anisotropic Materials d 1 d 2 k=k 2...

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Unformatted text preview: Flow Nets for Anisotropic Materials d 1 d 2 k=k 2 Layered soil deposit Horizontal flow in a layered soil deposit d 1 d 2 v = v 2 L h h = h h h =- Horizontal flow in a layered soil deposit d 1 d 2 v = v 2 L h h = h h h =- v k h L Q k h L d 1 1 1 1 1 = = ; For layer 1 (1a) Horizontal flow in a layered soil deposit d 1 d 2 v = v 2 L (1b) h h = h h h =- and v k h L Q k h L d 1 1 1 1 1 = = ; v k h L Q k h L d 2 2 2 2 2 = = ; For layer 1 For layer 2 (1a) Horizontal flow in a layered soil deposit Q k h L d Q k h L d 1 1 1 2 2 2 = = d 1 d 2 v = v 2 L (2a) Horizontal flow in a layered soil deposit now the average velocity, v, can be determined as v Q Q d d k h L H 1 2 1 2 = + + = Q k h L d Q k h L d 1 1 1 2 2 2 = = d 1 d 2 v = v 2 L (2a) Horizontal flow in a layered soil deposit now the average velocity, v, can be determined as v Q Q d d k h L where H 1 2 1 2 = + + = k k d k d d H 1 1 d 2 2 1 2 = + + Q k h L d Q k h L d 1 1 1 2 2 2 = = (2b) d 1 d 2 v = v 2 L Vertical flow in a layered soil deposit d 1 d 2 v v L h h h h =-- 1 2 h h h =- 1 h h = (3a) Vertical flow in a layered soil deposit d 1 d 2 v v L v k h d = 1 1 1 h v d k = 1 1 1 For layer 1 hence h h h h =-- 1 2 h h h =- 1 h h = (3a) (3b) Vertical flow in a layered soil deposit d 1 d 2 v v L v k h d = 1 1 1 h v d k = 1 1 1 For layer 1 For layer 2 hence v k h d = 2 2 2 h v d k = 2 2 2 hence h h h h =-- 1 2 h h h =- 1 h h = Vertical flow in a layered soil deposit h d h h d 1 + d 2 1 2 = + The hydraulic gradient for the layered system is given by (3c) Vertical flow in a layered soil deposit vd k vd k d d 1 1 2 2 1 2 h d h h d 1 + d 2 1 2 = + = + + The hydraulic gradient for the layered system is given by (3c) Vertical flow in a layered soil deposit vd k vd k d d v k h d 1 1 2 2 1 2 V h d h h d 1 + d 2 1 2 = + = + + = The hydraulic gradient for the layered system is given by Now applying Darcys law to the layered system gives (3d) (3c) Vertical flow in a layered soil deposit vd k vd k d d v k h d and hence 1 1 2 2 1 2 V h d h h d 1 + d 2 1 2 = + = + + = The hydraulic gradient for the layered system is given by Now applying Darcys law to the layered system gives k d k d k V 1 1 2 2 = + d 1 + d 2 (3e) (3d) d 1 = d k = k 2 = 10-10 m/s d 2 = d Example: permeability in a layered soil deposit d...
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This note was uploaded on 08/30/2011 for the course CIVL 2410 taught by Professor Dairey during the Three '11 term at University of Sydney.

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sma07 - Flow Nets for Anisotropic Materials d 1 d 2 k=k 2...

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