基于协同克里金方法的重力梯度全张量三维约束反演

随着重力梯度全张量测量技术的日趋成熟,重力梯度全张量数据的三维反演技术日益受到重视与关注.全张量数据反演与重力数据反演一样仍然面临着严重的多解性问题.本文将基于地质统计学的协同克里金方法应用于重力梯度全张量数据三维反演,建立了密度约束下的多变量协同克里金联合反演方程,以降低反演的多解性.模型试验表明密度信息的加入能够有效降低反演的多解性,提高反演结果的分辨率,尤其是纵向分辨率能够得到显著提高.最后对美国德克萨斯州一个岩丘区所获得实际资料的应用表明了本文方法的实用性.

Three-dimensional constrained inversion of full tensor gradiometer data based on cokriging method

As full tensor gradiometer (FTG) measurement techniques has increasingly become mature, three-dimensional inversion of FTG data is focused on more and more. Like inversion of gravity, inversion of FTG data confronts with multi-solution problem. In this paper, cokriging inversion equation is framed with several components with known densities as constrains. The method proposed can easily conclude the prior information, for example the known densities, into the inversion equation, so that non-uniqueness of inversion can be reduced. This method is tested on sythetic models and the inverted results show that the resolution, especially the vertical resolution of the resulted model can be significantly improved with the densities as constrains. The application of actual data obtained from a salt dome located in Texas proved the validity of the proposed method.