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350 300 250 200 150 100 50 50 100 150 200 250 300 350 ItOO 1*50 500 

 Left Right 



Distance in Miles along Open Coast 



Figure 1. Typical Surge Profile Along Texas Gulf Coast 



This storm, of course, could be included in the surge frequency analysis 

 when the final surge profile has been established. For the sake of sim- 

 plicity, and because the actual surge profiles are unknown for several 

 of the hurricanes used in this investigation, it is assumed that these 

 storms will have the form of the typical surge profiles. At the extreme 

 ends of the surge-profile curves, the relationship can become meaningless 

 since a position is reached where linearity ceases because the influence 

 of the storm at sea at great distances from the center is small. Because 

 of this and to ensure retaining the property of linearity, the coastline 

 distance included in the surge profile relationship must be bounded to 

 the left and right of the peak surge. A mathematical relation is given 

 in the following paragraph for describing these limits. 



It is possible to derive formulas and useful relations for analyti- 

 cally predicting the surge heights at coastal locations for full-scale 

 hurricanes based on the linear typical surge profile curves. The surge 

 height at the right and left of the peak surge is given by: 



\- 



Hp - 0.0328 S^ 



(1; 



\ 



= Hp - 0.0526 S^ 



(2) 



where H is the surge height in feet, S is the distance in nautical miles 

 measured from the peak surge to the surge to be computed, subscript P 

 indicates that the open-coast surge height is the peak water level or 

 highest water level produced during the course of a single storm, and 

 subscripts R and L denote positions right and left of the peak surge. 



