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随机地下水流方程的并予表示法可根据微积分式写成隐式或显式解。这些表示法大多数都包涵了诺伊曼级数。为了便于计算,所涉及的诺伊曼级数又必须经过截取简化。常有人提出简化后的诺伊曼级数可解决现存的任何地下水流问题。这种说法到目前尚未被有说服力的计算实例验证。我们提出的一项分析也说明这些说法在理论上还没有得以证明。我们根据Neuman和Orr(1993)提出的方法描述了一种变化的算子表示法。这种表示法既可以避免使用诺伊曼级数又可以达到同样的目的,进一步导出了一种紧做积分形式,对其解的性质提出了一种值得重视的新的认识方法。我们的新表示方法根据具体条件写出,包涵局部和区域有效参数。这些参数由尺度和信息资料决定。因此,这些参数不是唯一的物质属性,随着我们对水流系统的加深了解,这些参数还可以变化。
The implied or explicit solution of the stochastic groundwater flow equation can be written implicitly or explicitly according to calculus. Most of these representations include the Neumann series. In order to facilitate the calculation, the involved Neumann series must be truncated and simplified again. It has often been suggested that the simplified Neumann series solves any existing underground water flow problems. So far this statement has not been convincingly calculated examples of validation. One of our analyzes also shows that these statements have not been proved in theory. We describe a changing operator representation based on the method proposed by Neuman and Orr (1993). This not only avoids the use of Neumann series but also achieves the same goal, further derives a tight integral form and puts forward a new cognitive method which deserves attention. Our new presentation method is based on specific conditions, covering local and regional valid parameters. These parameters are determined by the scales and informational materials. Therefore, these parameters are not the only material attributes that can change as we learn more about the flow system.