When we place obstacles in river flow, river-bed around obstacles was scoured greatly with voltex and secondary flow. It is too difficult to evaluate quantitatively the scour with voltex and secondary flow. When we take a different view of point, it is expected that there is an equivalent relation between an amount of sand which fall in scoured hole from upper stream and is scoured with voltex and secondary flow and quantities of transportedload on the slope of down stream in scoured hole. In this report, with this standpoint, we make effort to introduce non-dimentional parameter that provide for scoured depth around circular cylinder and its variation with time.