偏微分方程性质对大坝安全监控的意义

The Significance of Partial Differential Equation on Dam Safety Monitoring

为夯实大坝安全监控理论基础,采用理论分析的方法,以典型二阶线性偏微分方程解的极值原理、解的存在唯一性和稳定性、影响区域以及时间反演对称性等性质为例,给出了偏微分方程性质在大坝安全监控包括测值分析、监控仪器布置、仪器量程选择和误差估计等方面的理论指导作用。分析结果表明熟悉偏微分方程的性质对提高大坝安全监控理论水平具有重要意义。

In order to reinforce the basic theory of dam safety monitoring ,taking the solution properties of typical second order linear partial differential equation as an example ,maximum principle ,uniqueness and stability of the solutions ,affected region and time-reversal symmetry ,were analysed to provide theoretical guidance on dam safety monitoring including measured value analysis ,monitoring instruments arrangement ,instruments range selection ,and error estimate ,etc . The analysis results show that the familiarity with partial differential equation plays an important role in improving the theoretical level of dam safety monitoring .