The theoretical frame of a new two-dimensional sediment mathematical model is established on the basis of the resent research achievements about the sediment transport law of the Yellow River. The formulas of sediment carrying capacity of flow and river roughness, which reflect the features of the Yellow River, are applied to it. The finite element scheme is employed to deduce the discretized equations of the model. The pre-estimated-verified substitution is used to solve them. Verifications of the model are carried out with the flood occurring on Jinan reach of the Yellow River during the flood season in 1976. The calculation results with the model are in good agreement with the measured data.
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