重力场源估计的闭合形式能量最小化基：DIDACKS IV
A closed-form energy-minimization basis for gravity field source estimation: DIDACKS IV
摘要：
通过建立在DIDACKS理论的场能量最小化基础之上，并通过对地球内部能量/密度配置的一般性质做出某些自然假设，研究表明，估计地球内部密度的问题，无论是全球还是局部，可以自然地重新定义为能量最小化问题。其基本思想是，静态稳定密度配置是最小能量配置，它往往是唯一的（当所有其他条件相同时）;因此，场能量最小化方法可以指望通常导致物理激励的唯一解。所涉及的技术应该提供实用的实现工具，或者至少提供一些有用的提示，用于处理与质量密度估计和其他相关的逆源拉普拉斯问题相关的许多众所周知的不适定性问题。
英文摘要：
By building on the field energy minimization underpinnings of DIDACKS theory and by making certain natural assumptions about the general nature of the energy/density configuration of the Earth's interior it is shown that the problem of estimating the Earth's interior density, either globally or locally, can be naturally reframed as a energy minimization one. The basic idea is that a static stable density configuration is a minimum energy configuration, which tends to be unique (when all other things are equal); hence, a field energy minimization approach can be counted on to generally lead to a physically motivated unique solution. Techniques touched on should provide practical implementation tools, or at least some helpful hints, for handling many of the well-known ill-posedness issues associated with mass density estimation and other related inverse-source Laplacian problems.
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