characteristic horizontal length which represents either the ultimate average 

 crack width or the width of the zone of soil influenced by water seeping into 

 it. This characteristic length may be proportional to D'. If so, that would 

 indicate that the deeper the object is embedded the greater will be the required 

 crack width or the greater the zone of influence with regard to the surrounding 

 soil. If this is assumed, 



D'^ 



Equation C-1 can be rewritten as the relationship 







The portion of the original embedment depth still in contact with the 

 object side, D', will vary inversely with the upward displacement which occurs 

 when the force is applied and directly with the original embedment depth, D. 

 The upward displacement was observed to vary directly with the relative force 

 applied, F^J/F^^J. Therefore, 



F 

 D' oc Df, 



where f ( ) = a functional relationship 



Flow net factors, Nf/N^j, are characteristically related to nondimen- 

 sionalized geometry terms. One such term for this problem would be B/D. 



Nf /b 



= g 



d 



N 



where g{ ) = a functional relationship 



Relationship C-2 can be rewritten and its terms reordered as 



y " '» ^ K§) 



45 



