Abstract. One of the main tasks in 3D geological modelling is the boundary parametrization of the subsurface from geological observations and geophysical inversions. Several approaches have been developed for geometric inversion and joint inversion of geophysical datasets. However, the robust, quantitative integration of models and datasets with different spatial coverage, resolution, and levels of sparsity remains challenging. One promising approach for recovering the boundary of the geological units is the utilization of a level-set inversion method with potential field data. We focus on constraining 3D geometric gravity inversion with sparse lower-uncertainty information from a 2D seismic section. We use a level-set approach to recover the geometry of geological bodies using two synthetic examples and data from the geologically complex Yamarna terrane (Yilgarn craton, Western Australia). In this study, a 2D seismic section has been used for constraining the location of rock unit boundaries being solved during the 3D gravity geometric inversion. The proposed work is the first we know of that automates the process of adding spatially distributed constraints to the 3D level-set inversion. In many hard-rock geoscientific investigations, seismic data is sparse and our results indicate that unit boundaries from gravity inversion can be much better constrained with seismic information even though they are sparsely distributed within the model. Thus, we conclude that it has the potential to bring the state of the art a step further towards building a 3D geological model incorporating several sources of information in similar regions of investigation.

中文翻译：

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使用广义水平集方法通过 2D 反射地震剖面约束 3D 几何重力反演：应用于Eastern Yilgarn craton

摘要。3D 地质建模的主要任务之一是根据地质观测和地球物理反演对地下进行边界参数化。已经开发了几种用于地球物理数据集的几何反演和联合反演的方法。然而，具有不同空间覆盖范围、分辨率和稀疏程度的模型和数据集的稳健、定量集成仍然具有挑战性。恢复地质单元边界的一种有前景的方法是利用具有潜在场数据的水平集反演方法。我们专注于使用来自 2D 地震剖面的稀疏低不确定性信息来约束 3D 几何重力反演。我们使用水平集方法使用两个合成示例和来自地质复杂的 Yamarna 地体（Yilgarn craton，西澳大利亚）的数据来恢复地质体的几何形状。在这项研究中，2D 地震剖面已被用于限制在 3D 重力几何反演期间求解的岩石单元边界的位置。拟议的工作是我们所知道的第一个自动将空间分布约束添加到 3D 水平集反演的过程。在许多硬岩地球科学调查中，地震数据是稀疏的，我们的结果表明，重力反演的单元边界可以更好地受到地震信息的约束，即使它们在模型中分布稀疏。因此，