A New Interpolation Meshing Method for Calculating Seepage Flux of Well

Wells and drainage holes are widely used in hydraulic engineering and groundwater exploration, such as foundation pit drainage, dam body and foundation drainage, groundwater exploitation and so on. Now the finite element method (FEM) is usually used to analyze the seepage flow in engineering. Based on the FEM, the mid-section method and the equivalent nodal method are usually used to calculate the seepage flux. However, when a well is arbitrary parted into finite elements, the midsection method and the equivalent nodal method are impossible to calculate the seepage flux of the well except that the well is specially parted into cylindrical elements. In the light of the characteristics of seepage field based on FEM, here a new method based upon FEM is proposed to calculate the section seepage flux. Firstly, the cylinder which is taking the well as the central is meshing into many small grid elements automatically. Then the nodal water head of grid elements are obtained by interpolating in the seepage field, and the seepage gradient at the center of grid elements are calculated too. Finally the section seepage flux can be obtained by adding up. It is shown that the improved method has a high calculation precision. It is not limited by the element shapes, and this method is very convenient in use. It has more advantages than the mid-section method and the equivalent nodal method.