(15) This equation may be integrated over the project limits to allow estimation of the proportion *p*(*t*) of

fill left within the project boundaries at a given time after project initiation to give:

2

1

ε*t*

(III-2-32)

exp &

&1

% *erf*

π

ε*t*

ε*t*

which is plotted in Figure III-2-37 as a function of the inverse of the nondimensionalized beach half length

parameter a

2 ε*t*

(16) A third case to be considered is that of a triangular beach fill as shown in Figure III-2-38. A

triangular planform beach nourishment might exist at a location where either a truck dumping of sand occurs

or where drag scraping of sand from the offshore occurs. The solution for this specific case (where the

original fill has been assumed triangular in shape) is:

(1&*X*) *erf *(*U*(1&*X*)) % (1%*X*) *erf *(*U *(1%*X*)) &2 *Xerf *(*UX*)

2

(III-2-33)

1

2

2

2

2

2

(*e * &*U*

(1%*X*)

% *e * &*U*

(1&*X*)

& 2*e * &(*UX*) )

%

π*U*

III-2-68

Longshore Sediment Transport

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