In one aspect of the present description, handling multiple backup processes comprises detecting that a defined storage volume is present in a first cascade of storage volumes; detecting that the defined storage volume is present in a second cascade of storage volumes; receiving a data write for a last storage volume in the first cascade of storage volumes; and performing a cleaning data write on the defined storage volume in the second cascade of storage volumes, wherein the cleaning data write corresponds to the received data write. Other aspects may be utilized, depending upon the particular application.