Posgrado en Ciencias de la Tierra, Instituto de Geología, Universidad Nacional Autónoma de México , México D.F. , Mexico.
IIMAS, Universidad Nacional Autónoma de México , México D.F. , Mexico.
PeerJ. 2014 Oct 16;2:e557. doi: 10.7717/peerj.557. eCollection 2014.
Analyzing field data from pumping tests, we show that as with many other natural phenomena, groundwater flow exhibits 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.
通过对抽水试验的现场数据进行分析，我们表明，与许多其他自然现象一样，地下水流动表现出由 1/f 幂律谱描述的复杂动力学。这一结果是从代理角度在理论上进行研究的。我们使用移动代理模型证明，当介质复杂时，就会出现这种统计行为。提供了一些启发式推理，以证明空间和动态复杂性是由于无数随机过程的叠加而产生的。更重要的是，我们表明这意味着需要非柯尔莫哥洛夫概率来研究它，并为地下水流动提供了一组新的偏微分方程。
