把渗漏通道虚拟为线热源,参数化渗漏通道的位置,利用迭加原理,推导了多个渗漏通道的温度场解析,再利用BURSA-WOLF模型进行坐标转化,最后运用最优化方法迭代出集中渗漏通道位置的数值解。结合工程实例,建立多个虚拟线状集中渗漏通道位置温度探测的二维模型。首先进行单个集中渗漏通道位置的最优化,如果残差平方和(SSE)足够小,则终止计算;否则计算下一个渗漏通道位置,直到残差平方和足够小。计算结果确定了陡河水库左坝肩中的两个较强的集中渗漏位置,估计了三个微弱的集中渗漏大致位置。该方法较同位素及综合示踪法定性分析更为精确。根据计算对主要渗漏进行了进一步治理,水库漏水量明显减小,说明该方法是有效的。
With concentrated leakage passages linearized and the locations parameterized,a temperature analytic formula for multi-passage leakage is established.The optimum solution to locations of leakage passages is got by use of inverse analysis.In case study,the two-dimensional temperature detection model for linear leakage passages is set up by simplification.Firstly,the location of single concentrated-leakage passage is calculated by optimization.If the SSE is less than the specific value,the calculation is terminated.Otherwise,the location of the next concentrated-leakage passage is calculated and so on until the SSE is small enough.Two intense-leakage passages are located and three slight-leakage passages are roughly located at the left abutment of Douhe Reservoir in this calculation.The proposed method is more accurate than the qualitative investigation such as isotopic tracer.It indicates that the method is effective that the leakage loss of water in Douhe Reservoir distinctly decreases after the abutment is repaired.