高清版《约翰-汤普森钢琴教程1》.pdf

摘要二维水分运动及溶质运移的有限元数值模拟学科: 应用数学作者: 赵梦玲签名: 导师: 张德生教授签名: 答辩日期:摘要本文结合西安理工大学科技创新项目《土壤水分运动及溶质运移的数值模拟》,主要针对地下水、土壤水分运动以及溶质运移的有限元数值模拟方法理论及计算进行了研究,取得了如下一些结果:1. 从承压含水层地下水运动平面假设出发,建立了以测压水头h为因变量的二维承压含水层中地下水运动的有限元数值模型。数值模拟计算结果和有限差分法计算结果有着较好的一致性。2. 在含水层中地下水流速变化不大的条件下,建立了以相对浓度C为因变量的二维地下水溶质运移的有限元数值模型。数值模拟计算结果和实验结果有着较好的一致性。3. 从土壤水动力学的基本理论出发,建立了沟灌、地下管道渗灌等条件下以体积含水率θ为因变量的二维非饱和土壤水分运动的有限元数值模型。数值模拟计算结果和实验结果有着较好的一致性。关键词:地下水,土壤水,溶质运移,有限元法,数值模拟。本研究得到西安理工大学科技创新项目(108-210301)的资助。Abstract Based on the project ((Numerical simulation for water flow and solute transport through soils)) supported by Science and Technology Creation Foundation of Xi'an University of Technology, numerical simulation for water flow and solute transport through ground water and soils by using the finite element method is mainly studied and some valuable results are obtained as follows: 1. According to the plane suppose of ground water movement in the hydrated layer holding suppress. the numerical model of 2-D ground water flow in hydrated layer holding suppress with variable h was established by using the finite element method and the numerical simulation shows that the calculated results of is in good agreement with the calculated result of the finite difference method. 2. The numerical model of 2-D solute transport in ground water with variable C was established under the condition of variety of water flow velocity is not too fast by using the finite element method and the numerical simulation shows that the calculated results is in good agreement with the measured date of experiment. 3. According to the fundamental theory of dynamics, the numerical model of 2-D water flow in unsaturated soils with variable 9 was established under the condition of furrow irrigation or underground channel seepage irrigation by using the finite element method and the numerical simulation shows that the calculated results of numerical simulation is in good agreement wit