中文摘要：

首先介绍了前人提出的地下水系统中关于放射性同位素浓度场的几个集总参数模型，如EM、PM和EPM模型，指出它们的响应函数物理意义不明确。针对这种情况，依据放射性衰变原理和质量守恒原理，假定：1）水流系统处于稳态，2）下渗速率为常量，3）水流的水平运移速率为常数的条件下，推导了地下水系统中放射性同位素浓度场-流场耦合的一个集总参数模型，即平板模型。与上述模型相比，该模型建立在明确的物理基础之上，各个参数的物理意义明确，便于对相关水流系统中的放射性同位素数据作出精确的解释，以期为该系统中放射性同位素浓度的定量分析与模拟提供更为确切的数学基础。

英文摘要：

Several previous general lumped parameter model of radioisotope concentration field in groundwater systems, such as EM, PM and EPM model, are introduced, and the ambiguous physical meaning of response functions within these models are pointed out. And then, based on the radioactive decay principles and mass conservation principle, assuming that 1）the fluid system is in steady state, 2） infiltration rate is constant, and 3）the horizontal transport of water flow rate is constant, a general lumped parameter model of radioisotope concentration-fluid coupled field in groundwater systems is deduced under these conditions, that is, Panel model. Compared with the above mentioned models, this new model is built on a clear physical basis with a definite physical meaning of each parameter, so that it could make accurate interpretations on radioisotope data of the relevant water flow system, and provide more precise mathematical foundation on quantitative analysis and simulation of radioisotope concentration.