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224    Handbook of gold exploration and evaluation

              rapidly to any significant change in conditions of flow. Flow conditions vary
              with every change in level of discharge and in the nature of the sediments in
              transport. Flow regime thus adapts both to changes in channel form and velocity,
              and friction on the bed surface and channel walls; and variations in sediment
              grain size, sediment loading, river stage, stream type and disturbances caused by
              depositional units such as alluvial bars and lag gravels. Given an appropriate
              channel depth, most fluvial land-forms are developed in the low flow regime
              following active sediment erosion and transport at high river stage


              Time rate of energy expenditure
              The concept of the time rate of energy expenditure is fundamental to all studies
              of sediment transport and settling. Stream power is directly associated with flow
              conditions and for every change in flow conditions, there is a generally
              predictable reaction:

              · Discharge variations result in scour during flooding and aggradation at low
                 water.
              · Narrowing of the channel decreases the transport capacity of the stream and
                 promotes scouring.
              · Changing the depth of a channel, without modification of either discharge or
                 width, requires a change in shape.
              · Channel shortening increases the slope and transport capacity of a channel,
                 thus leading to local scour.
              · Increasing channel roughness requires either the depth or slope to increase, or
                 both.
              · Local changes in the nature of the bed material lead to local changes in
                 transport capacity.
              · Selective sorting along one stream section eventually stabilises the channel in
                 that locality; however the flow will then be loaded below its capacity when it
                 enters into a zone of finer material, thereby causing scour.

              The `law of least time rate of energy expenditure' states that during its evolution
              towards an equilibrium condition, a natural stream chooses its course of flow in
              such a manner that the time rate of energy expenditure per unit mass of water
              along this course is a minimum. One consequence of the law is a requirement for
              the channel slope to decrease in the downslope direction so that the time rate of
              energy expenditure per unit weight of water is zero where the stream reaches its
              ultimate base level. This requirement explains why the longitudinal profile is
              usually concave (Stall and Yang, 1972). In applying the principle of stream
              power to predicting channel forms, it may be concluded that the tendency to
              minimise the expenditure of stream energy under the constraints of discharge
              and sediment load imposed by conditions in the drainage basin determines the
              river form.
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