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### 8-Flow_In_Aquifers

Course: CE 374, Spring 2002
School: University College of...
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Word Count: 546

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Kx qx 2/7/09 1 2/7/09 h =S t x qx = K K h x x h h =S x t x h h h h + Ky + Kz =S x y z y z t Ground surface Head in confined aquifer Confining Layer Bedrock Qx Confined aquiferb K h 1b h(x,y,t)= h(x,y,z,t)dz b0 1b q x (x,y,t)= q x (x,y,z,t)dz b0 Q x = bq x 2 2/7/09 Hydraulic gradient = 1 m/m ce rfa Su ric et iom nt te d Po Be ing fin on C Transmissivity, T, volume of water flowing...

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Kx qx 2/7/09 1 2/7/09 h =S t x qx = K K h x x h h =S x t x h h h h + Ky + Kz =S x y z y z t Ground surface Head in confined aquifer Confining Layer Bedrock Qx Confined aquiferb K h 1b h(x,y,t)= h(x,y,z,t)dz b0 1b q x (x,y,t)= q x (x,y,z,t)dz b0 Q x = bq x 2 2/7/09 Hydraulic gradient = 1 m/m ce rfa Su ric et iom nt te d Po Be ing fin on C Transmissivity, T, volume of water flowing an area 1 m x b under hydraulic gradient of 1 m/m 1m b 1m 1m T =K b 1b b0 er uif Aq ed fin on C K(x,y)= K(x,y,z)dz Conductivity, K, volume of water flowing an area 1 m x 1 m under hydraulic gradient of 1 m/m Qx h =S x t Ground surface Head in confined aquifer Confining Layer Q x = Tx h x Bedrock Qx Confined aquiferb K h h h Tx =S x x t 1 h Sh r = rr r Tt Radial Coordinates 3 2/7/09 x Tx d 2h x2 h h =0 =S x t Ground surface T =0 steady flow h(x) Confining Layer hA Confined aquifer Qx K Bedrock L b hB hA h h(x) = h A + B x L Head in the aquifer h hA h(x) = h A + B x = 100 0.02x m L Ground surface q= K hB h A L 80 100 1000 = (20 m /d) = 0.4 m /day Confining Layer v= hA Confined aquifer Qx K Bedrock L b hB q = 1.14 m /day 4 2/7/09 h )h x Qx = qx h = ( K h Qx = Sy x t x Kh h h = Sy t x 5 2/7/09 Ground Surface Water Table x Kh h h = Sy t x hA h hB Flow dh d Kh =0 dx dx d 2 h2 dx 2 Bedrock x L 2 h 2 (x) = h A + ( ( )=0 2 2 hB h A )x L Q=( K 2 2 dh K dh 2 K hB h A )h = = dx 2 dx 2 L Ground Surface Water Table hA h Flow hB Bedrock x L Q= 2 2 2 2 K hB h A 86.4 m /d 6.5 4 = = 7.56 m 3 /d / m 2 L 150 2 6 2/7/09 N, Infiltration x Kh h h + N = Sy t x Constant K Ground Surface Water Table Steady Flow h hMax Flow hB d 2 h2 dx 2 ( )= hA 2 N K Bedrock x L 2 h 2 (x) = h A + 2 N h 2 hA L+ B x K L N2 x K N, Infiltration Q(x) = K d(h 2 ) 2 dx hL Ground Surface Water Table h hMax Flow hR 2 dh 2 N h 2 hA = L+ B K dx L N 2x K Bedrock x L Q(x) = NL h2 h2 K R L + Nx 2 2L x divide = L K 2 2 + (hR hL ) 2 2NL 7 2/7/09 N, Infiltration Ground Surface Water Table h hL hMax Flow hR Bedrock x L Q(0) = 20 1.37 ...

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