在重力断层成像中使用纺锤形模型
Use of spheroidal models in gravitational tomography
AI总结：
本文通过将矿体分割为垂直相邻杆件解决直接重力测量问题，并利用纺锤形模型处理逆问题，通过最小化Tikhonov平滑函数确定参数，使逆问题变得唯一且稳定，通过数值模型验证了该方法。
摘要：
直接重力测量问题通过将每个矿体分割为一组垂直相邻的杆件来解决，而在逆问题中，每个矿体被建模为一个均匀的旋转椭球体（纺锤体）。已知的纺锤体重力强度z分量公式被转换为方便的形式。通过最小化Tikhonov平滑泛函并施加参数约束来确定纺锤体的参数，使不稳定的逆问题变得唯一且稳定。Bulakh算法被修改以估计矿体的深度和质量。通过矿体为两个和五个体的数值模型示例展示了该技术。将逆重力问题解释为重力断层成像问题或地球地壳和地核的内窥术。
英文摘要：
The direct gravimetry problem is solved using the subdivision of each body of a deposit into a set of vertical adjoining bars, and in the inverse problem each body of a deposit is modeled by a uniform ellipsoid of revolution (spheroid). Well-known formulas for z-component of gravitational intensity of a spheroid are transformed to a convenient form. Parameters of a spheroid are determined by minimizing the Tikhonov smoothing functional using constraints on the parameters. This makes the ill-posed inverse problem by unique and stable. The Bulakh algorithm for initial estimating the depth and mass of a deposit is modified. The technique is illustrated by numerical model examples of deposits in the form of two and five bodies. The inverse gravimetry problem is interpreted as a gravitational tomography problem or the intravision of the Earth's crust and mantle.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
