relations m equations 2-29 to 2-35 are changed into dimensionless forms. 

 This is accomplished by expressing time in terms o£ a characteristic time, 

 T^, the horizontal lengths in terms of a characteristic length, L^,, and 

 the vertical lengths in terms of a characteristic depth, dc- The selec- 

 tion of a characteristic time would depend on the particular phenomenon 

 being studied. For example, when the resonance phenomena of a harbor are 

 to be investigated, the characteristic time could be the fundamental seiche 

 period of the harbor basin; or, for the ordinary harbor problems that in- 

 volve periodic inputs, the period of the entering waves may be taken as 

 the characteristic T^. The characteristic length L^, could be the width 

 of an important location in the harbor area, such as the outer input line 

 occupied by the wave generator of the model. When it is unnecessary that 

 the generator occupy the entire length of the outer input line, the en- 

 trance to the harbor may be taken as the input line and the characteristic 

 length L^. The characteristic depth, d^,, can be taken as the average 

 depth along the outer input line or the harbor entrance. Introducing the 

 following dimensionless variables and a dimensionless velocity potential: 



^ L ' ^ L'^ d ' 





and 



0T, 



the equation of the bottom configuration can be expressed as 



f(^, ^, ^)=0 C2-36a, 



F(X,Y,Z) = 0, X - Xq, etc. (2-36b) 



Letting the parameter N express the ratio of the characteristic hori- 

 zontal length to the characteristic depth, i.e.. 



and introducing the new variables in equations 2-30, 2-33, 2-34, and 2-35, 

 there is obtained 



o ^ _^ o_^ ^ o^ ^ Q (2-37) 



ax2 av^ az 

 ax ax av av azaz 

 38 



ap a<j> ap 3i> ap a<i> 



