Deep-sea mining is becoming more popular. The Atlantis II Deep is a deep sea mining field of metalliferous muds in the Red Sea. This field could be exploited by transporting the sediments through a pipeline laid from shore onto the sea bed to the field. From determined concentrations with their shear stress-shear rate relation, parameters for the power law and Bingham plastic model were determined, relayed to test data, so that in the end the Bingham Plastic model was used to calculate pwoer consumption for a variety of cases.