Shanghai is now facing a barrier on its way to become an international shipping center; the sham shoreline and land having already reached saturation point at the Yangtze River estuary. The vital way to solve this problem is to build new ports. Meanwhile, the municipal government has been injecting massive funds to dredge sedimentate the Yangtze River estuary. If those dredged sediments could be hydraulically filled in Eastern Hengsha Shoal, another Shanghai Port can be built there with integrated resources, the handling capability of which will be able to meet the shipping demand in Shanghai for the next 30 years. The mathematical model raised from the practical issues is Monge-Kantorovich problem, which had intrigued and frustrated mathematicians for 232 years. Based on Monge-Kantorovich Model, this paper has designed a numerical method of estimating the gross energy hydraulic reclamation needed to evaluate the expense of the entire object.