the height of the bottom water layer at the origin 

 of intrusion does not depend on time: 



h(o,t) 



Const 



(36) 



The solution of Eq. (22) under conditions (35) 

 and (36) is also self-similar and has the form 



h = h^f,(c) 



<//nh ^t 

 o 



(37) 



where the function f2(C) which satisfies the equa- 

 tion 



:|2^r 5 



dC^ 



under the conditions 



d? 



f2(0) = 1 



fl(o 



(38) 



(39) 



is continuous and has a continuous derivative 

 df2^/dc (the last requirement follows from the 

 continuity of the flow of bottom fluid) . The solu- 

 tion, f2(C)/ is represented in Figure 4 (curve 2). 

 It is also different from zero only in a finite 

 interval - C - Co ~ 1-65, so that the leading 

 edge of the intrusion XQ(t) propagates as 



X (t) = C /nh ''t 



581 

 (40) 



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