DERIVATION OF RESERVOIR’S AREA-CAPACITY EQUATIONS BASED ON THE SHAPE FACTOR

10.22099/ijstc.2013.943

Abstract

Area-capacity  curves  are  of  the  most  important  physical  characteristics  of  dam reservoirs.  These  curves  are  used  for  reservoir  flood  routing,  reservoir  operation,  prediction  of sediment  distribution  in  reservoirs,  etc.  In  this  study,  the  linear  characteristic  of  a reservoir’s depth-capacity  data  on  log-log  paper  is  used  and  the  mathematical  equation  of the reservoir’s capacity-depth curve is obtained based on the shape factor, M. The reservoir’s area-depth equation and  equation  of  shape  factor  are  obtained  by  differentiating  the  reservoir’s  capacity-depth equation. The obtained equations are evaluated with the area-capacity data of 8 reservoirs in the United  States.  The  results  of  this  study  showed  that  the  obtained  equations  agree  well  with  the actual data.

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