produce either an intersecting or a nonintersecting profile. For a nonintersecting profile, the volume

of sand per unit length of shoreline that must be placed before there is any dry beach after

equilibrium is estimated as

5/2

3

(V-4-8)

5

If the volume placed is less than that given by Equation V-4-8, a submerged profile is produced after

equilibration. Example V-4-4 illustrates volume calculations using Equation V-4-8.

For nonintersecting profiles with a dry beach after equilibrium (i.e., volume placed is equal to or

exceeds that in Equation V-4-8) the volume per unit length of beach required to produce a dry beach

of width *W *may be estimated as

3/2 5/3

5/2

3 *D*C

& *A*F

(V-4-9)

5 * A*F

Example V-4-5 illustrates volume calculations using Equation V-4-9.

For intersecting profiles, the volume per unit length of beach required to advance the beach a distance *W *after

equilibriation can be estimated by

3 5/3

5

(V-4-10)

3/2 2/3

3/2

&

It is noted that the depth of closure does not enter Equation V-4-10, because by definition, the

nourished profile intersects the native profile landward of the depth of closure (see Figure V-4-19).

Example V-4-6 illustrates volume calculations using Equation V-4-10.

Equilibrium profile methods do not account for a sediment deficit in the preproject beach profile,

which is common along erosion-stressed shorelines where beach nourishment projects are typically

considered. The methods also only account for volume below the berm elevation. Volume contained

in the dune must be added to the estimate. These methods are recommended for quick calculations,

and to compliment calculations based on differences between preproject profile shapes and design

profiles. They are not recommended for use in computing final sectional fill volume estimates.

A third method for computing sectional fill volume when fill and native sediments have different

grain size characteristics is to translate the healthy, sediment-rich, design profile as shown in

Figures V-4-14 and 15, calculate the volume using Equation V-4-6 , and then apply the overfill factor

to the volume determined from profile translation (see Part V-4-1-e-(3i) and Example V-4-1). The

overfill factor would also be applied to any advance renourishment volume. Dune volume must be

Beach Fill Design

V-4-45

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