Lateral accretion is the depositional phase where transported sediment within a basin or river preferentially accumulates against the margin. Lateral accretion produces sigmoidal ("S" shaped) depositional units which are upward fining stratigraphic sequences.
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Basin filling by Lateral Accretion Galloway, W. E. and D. K. Hobday.
Terrigenous Clastic Depositional Systems.
Springer-Verlay New York, Inc., New York, 1983.