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REPORT DOCUMENTATION PAGE 



READ INSTRUCTIONS 

 BEFORE COMPLETING FORM 



1. REPORT NUMBER 



MR 77-10 



2. GOVT ACCESSION NO. 



3. RECIPIENT'S CATALOG NUMBER 



4. TITLE (and Subtitle) 



MATHEMATICAL MODELING OF SHORELINE EVOLUTION 



5. TYPE OF REPORT & PERIOD COVERED 



Miscellaneous Report 



6. PERFORMING ORG. REPORT NUMBER 



Report No. TC-851 



AUTHORfs; 



Bernard Le Mehaute 

 Mills Soldate 



8. CONTRACT OR GRANT NUMBERCo) 



DACW72-7T-C-0002 



9. PERFORMING ORGANIZATION NAME AND ADDRESS 



Tetra Tech, Inc. 



630 North Rosemead Boulevard 



Pasadena, California 91107 



F31551 



11. CONTROLLING OFFICE NAME AND ADDRESS 



Department of the Army 



Coastal Engineering Research Center (CEREN) 



Kingman Building, Fort Belvoir, Virginia 22060 



12. REPORT DATE 



October 1977 



13. NUMBER OF PAGES 



5js 5-q , 



14. MONITORING AGENCY NAME a ADDRESSC/f d///eren( Irotn Controlling Ollice) 



15. SECURITY CLASS, (of this report) 



UNCLASSIFIED 



16. DISTRIBUTION ST ATEMEN T fo/ (his ReporfJ 



Approved for public release; distribution unlimited. 



17. DISTRIBUTION STATEMENT (of the abstract entered In Block 20, If different from Report) 



18. SUPPLEMENTARY NOTES 



19. KEY WORDS (Conlii 



3ary and Identity by block i 



Beach slope 

 Coastal engineering 

 Mathematical modeling 



Shoreline evolution 

 Waves 



ABSTRACT (Continue an reverie side If neceaaary and Identity by block number) 



A critical literature survey on mathematical modeling of shoreline 

 evolution is presented. The emphasis is on long-term evolution rather 

 than seasonal or evolution taking place during a storm. The one-line 

 theory of Pelnard-Considere (1956) is developed along with a number of 

 applications. Refinements to the theory are introduced by considering 

 changes of beach slope, wave diffraction effects, wave variation, and 

 variation of sea level. The case of hooked bays is also reviewed. 

 fcontinuedl 



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