Abstract: The developed sand inflow erosion model for cold heavy oil production is based on the mass conservation law and Darcy's law, considering the effect of fluid flowing on sand inflow/production, and the solution in uncompressible condition of single phase is obtained. The result shows that continuous sand inflow greatly improves the porosity near the well and the performance of fluid flowing, thus increasing the heavy oil production with tendency of sand inflow increasing drastically in the early period, then declining, and finally reaching stability. Such a feature is accordant with the field data. It is demonstrated that the valid model of one dimension can be applied to guide the experiment of sand inflow and cold production, and make validation as well. Hence this model is of bright future for application to the sand inflow erosion model's study under radial flow, two-phase flow, and coupling with rock matrix plastic deformation.

Key words: sand inflow, cold heavy oil production, erosion, model