(c) First solving for L where d x = 1,000 meters and T = 20 minutes, 



L = CT = •gd T = /9.807 x 1,000 (20 x 60) 

 L = 118,800 meters (73.8 miles) 



From equation (51) , 



h I = — 



! max |l,000 2nd 



0.2(118,800) _ 



| max |l,000 2tt(1,000) 

 From equation (56) where d„ = 500 meters, 



3.78 meters (12.4 feet) 



I max J 



2 / d l 



3/4 



( max) 



E |s00 /l,000 XVIt 



1,000 



500 



k 



500 V 500 



3/4 



=6.36 meters (20.9 feet) 



************************************ 



Soloviev, et al . (1976) compared solutions for tsunami amplitude 

 using equation (49) and a numerical integration method. Equation (49) 

 does not account for wave reflection from bottom slopes and results in 

 calculated wave amplitudes that are too high. Also, equations (49), 

 (54), and (56) do not account for wave refraction, diffraction, or 

 dispersion; they cannot be used with any degree of accuracy when the 

 ratio of H/d becomes large. When waves travel long distances, it is 

 necessary to consider the curvature of the Earth, discussed later in 

 this section. 



2 . Long-Wave Equations . 



To increase the accuracy of computations, the long-wave equations 

 can be expressed in various forms of partial differential equations 

 which can be solved numerically. As given by Peregrine (1970) for two- 

 dimensional waves propagating in water of constant depth, the equations 

 may be written as follows in rectangular coordinates: 



44 



