Combining equations 10, 15, 16, and 20, it can be shown that, for the general 

 case where the point being considered lies below the phreatic surface. 



1 ^ - (tan e + tan <\>) 



m - tan e ~ (1 + tan^ e) 



cos2 e {(z - z ) [y, (tan 6 + tan 4) 

 w b 



+ Y,, tan e] 

 w 



+ z Y^ (tan 9 + tan <))) 

 w t 



h 



- + c (1 + tan^ 9)} 



cos (}) { (z - z^) [y^ (tan cf) - tan 9) 



- Y tan 9] 

 w 



+ z Y (tan (j) - tan 9) 

 w t 



+ c (1 + tan2 6)} (25) 



Similarly, for a point above the ground water level, or for the special case of 

 no seepage, 



1 _ - (tan 9 + tan <i>) 



m - tan 9 " (1 + tan2 e) 



cos^ 9 {z Y^ (tan 9 + tan (}>) 



- + c (1 + tan^ 9)} 



cos <t> {z Y^ (tan cj) - tan 9) 



h 



+ c (1 + tan2 9)} (26) 



where, in each case, the (-) and (+) signs correspond to the passive and active situa- 

 tions, respectively. 



Thus, from equations 24 and 25, for z >^ z^. 



X - xq = A (n - Hq) + [B 



Bk _i V- bb' uv (27) 



; tan 1 ( ) ] 



b /- bb' bv 



^0 



where n = z - z^, and and Xq correspond to the depth z = z^. Again, the (-) and (+) 

 signs correspond to the passive and active cases, respectively, and the remaining 

 parameters and variables are defined as follows: 



10 



