In the field of mineral resources extraction, one main challenge is to meet production targets in terms of geometallurgical properties. These properties influence the processing of the ore and are often represented in resource modeling by coregionalized variables with a complex relationship between them. Valuable data are available about geometalurgical properties and their interaction with the beneficiation process given sensor technologies during production monitoring. The aim of this research is to update resource models as new observations become available. A popular method for updating is the ensemble Kalman filter. This method relies on Gaussian assumptions and uses a set of realizations of the simulated models to derive sample covariances that can propagate the uncertainty between real observations and simulated ones. Hence, the relationship among variables has a compositional nature, such that updating these models while keeping the compositional constraints is a practical requirement in order to improve the accuracy of the updated models. This paper presents an updating framework for compositional data based on ensemble Kalman filter which allows us to work with compositions that are transformed into a multivariate Gaussian space by log-ratio transformation and flow anamorphosis. This flow anamorphosis, transforms the distribution of the variables to joint normality while reasonably keeping the dependencies between components. Furthermore, the positiveness of those variables, after updating the simulated models, is satisfied. The method is implemented in a bauxite deposit, demonstrating the performance of the proposed approach.

在矿产资源开采领域，一项主要挑战是要达到地质冶金性能方面的生产目标。这些特性影响矿石的加工，并且通常在资源建模中通过共区域化变量来表示，它们之间具有复杂的关系。在生产监控期间，如果使用传感器技术，则可获得有关地质冶金特性及其与选矿过程相互作用的宝贵数据。这项研究的目的是在获得新的观察结果时更新资源模型。一种流行的更新方法是集成卡尔曼滤波器。该方法依赖于高斯假设，并使用一组模拟模型的实现来得出样本协方差，该协方差可以传播真实观测值与模拟观测值之间的不确定性。因此，变量之间的关系具有组成性质，因此在保持组成约束的同时更新这些模型是提高更新模型准确性的实际要求。本文提出了一种基于集合卡尔曼滤波器的成分数据更新框架，该框架使我们能够处理通过对数比变换和流量变形变换为多元高斯空间的成分。这种流动变形将变量的分布转换为联合正态性，同时合理地保持组件之间的依赖性。此外，在更新仿真模型之后，这些变量的正性得到满足。该方法在铝土矿床中实施，证明了所提出方法的性能。