Different observation data are utilized to obtain a unified geophysical model based on the correlations of underground geological bodies in joint inversions. By specifying a type of Gramian constraints, Gramian as a coupling term can link geophysical models through relationships of physical properties or structural similarities. Considering the complex relationships of physical properties of underground geological bodies, we proposed an adaptive zoning method to automatically divide the whole inversion area into subregions with different relationships of physical properties and to determine the number and range of subregions that utilized correlation between geophysical data before joint inversions. On this basis, we considered the use of a combination of Gramian coupling terms rather than one term to link petrophysical and structural domains during joint inversions. Synthetic tests showed that the algorithm is capable of having a robust estimate of the spatial distribution and relationships between density and magnetization intensity of geological bodies. The idea was also applied to the ore concentration area in the middle and lower reaches of the Yangtze River to obtain the three-dimensional (3-D) distribution model of magnetite-bearing rocks within 5 km underground, which corresponds well with the existing shallow ore sites and demonstrates the existence of available deep resources in the study area.

利用不同的观测数据，根据地下地质体的相关性进行联合反演，得到统一的地球物理模型。通过指定一种格拉米安约束，格拉米安作为耦合项可以通过物理属性或结构相似性的关系链接地球物理模型。考虑到地下地质体物性关系的复杂性，提出了一种自适应分区方法，将整个反演区自动划分为不同物性关系的子区域，并在联合前确定利用地球物理数据之间的相关性的子区域的数量和范围。倒置。在此基础上，我们考虑在联合反演过程中使用格拉米耦合项的组合而不是一项来链接岩石物理和结构域。综合测试表明，该算法能够对地质体的空间分布以及密度与磁化强度之间的关系进行鲁棒估计。该思想也应用于长江中下游矿集区，得到了地下5公里范围内含磁铁矿岩石的三维（3-D）分布模型，与现有浅层矿床吻合良好。矿石地点并表明研究区域存在可用的深层资源。