尾矿坝浸润线时空混沌模型及反分析

来源期刊：中南大学学报(自然科学版)2003年第6期

论文作者：蒋卫东 李夕兵

文章页码：704 - 707

关键词：尾矿坝;耦合单峰映象格子;时空混沌;最小二乘法;反分析

Key words：tailings dam; coupled logistic lattices; spatiotemporal chaos; least square method; back analysis

摘    要：为了描述平行尾矿坝坝轴方向浸润线的演化并描述其非线性动力特性,以浸润线高度与坝体高度的比值作为状态变量,引入基于反应扩散过程的耦合单峰映象格子模型;提出了运用最小二乘法进行反演,求取模型中非线性强度a及耦合强度ε,进而确定浸润线时空模式的方法.对银山铅锌矿尾矿坝浸润线实测数据进行分析,结果表明耦合单峰映象格子模型能够较好地描述平行坝轴方向浸润线的非线性动力特性;通过反演方法可以得到浸润线的时空模式,并进而判断浸润线状态,为采取安全措施提供理论依据.

Abstract: Based on reaction diffusion, taking the ratio of seepage line height to dam′s height as the state variable, a coupled map lattices model is introduced to describe the evolvement of seepage line paralleled to the dam′s axis, and judge its nonlinear dynamic character in this paper. In order to calculate nonlinearity parametera, strength of coupling ε and determine the spatiotemporal pattern of seepage line, a method by back analysis of least square based on monitoring data is proposed. And then, the monitoring data of seepage line in a tailings dam are analyzed. The results show that coupled logistic lattices can be a preferable description forspatiotemporal chaos of seepage line. The pattern that will help to judge the state of seepage line and provide theoretical criterion for taking safety measures, can be obtained by back analysis.