复杂地下水流系统的旅行代理模型
Complex groundwater flow systems as traveling agent models
摘要：
从抽水试验现场数据分析，我们表明，与许多其他自然现象，地下水流表现出复杂的动态1/f功率谱描述。这一结果在理论上研究代理人的角度来看。使用旅行代理模型，我们证明了这种统计行为出现时，介质是复杂的。一些启发式的推理提供了空间和动态的复杂性，作为一个无限数量的随机过程的叠加的结果。更重要的是，我们表明，这意味着非柯尔莫哥洛夫概率的研究是必要的，并提供了一组新的偏微分方程的地下水流。
英文摘要：
Analyzing field data from pumping tests, we show that as with many other natural phenomena, groundwater flow exhibits a complex dynamics described by 1/f power spectrum. This result is theoretically studied within an agent perspective. Using a traveling agent model, we prove that this statistical behavior emerges when the medium is complex. Some heuristic reasoning is provided to justify both spatial and dynamic complexity, as the result of the superposition of an infinite number of stochastic processes. Even more, we show that this implies that non-Kolmogorovian probability is needed for its study, and provide a set of new partial differential equations for groundwater flow.
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