Deep Learning Models for the Prediction of Mineral Dissolution and Precipitation During Geological Carbon Sequestration

Zeeshan Tariq, E. U. Yildirim, B. Yan, Shuyu Sun
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Abstract

In Geological Carbon Sequestration (GCS), mineralization is a secure carbon dioxide (CO2) trapping mechanism to prevent possible leakage at later stage of the GCS project. Modeling of the mineralization during GCS relies on numerical reservoir simulation, but the computational cost is prohibitively high due to the complex physical processes. Therefore, deep learning (DL) models can be used as a computationally cheaper and at the same time, reliable alternative to the conventional numerical simulators. In this work, we have developed a DL approach to effectively predict the dissolution and precipitation of various important minerals, including Anorthite, Kaolinite, and Calcite during CO2 injection into deep saline aquifers. We established a reservoir model to simulate the process of geological CO2 storage. About 750 simulations were performed in order to generate a comprehensive dataset for training DL models. Fourier Neural Operator (FNO) models were trained on the simulated dataset, which take the reservoir and well properties along with time information as input and predict the precipitation and dissolution of minerals in space and time scales. During the training process, root-mean-squared-error (RMSE) was chosen as the loss function to avoid overfitting. To gauge prediction performance, we applied the trained model to predict the concentrations of different mineral on the test dataset, which is 10% of the entire dataset, and two metrics, including the average absolute percentage error (AAPE) and the coefficient of determination (R2) were adopted. The R2 value was found to be around 0.95 for calcite model, 0.94 for Kaolinite model, and 0.93 for Anorthite model. The R2 was calculated for all trainable points from the predictions and ground truth. On the other hand, the average AAPE for all the mappings was calculated around 1%, which demonstrates that the trained model can effectively predict the temporal and spatial evolution of the mineral concentrations. The prediction CPU time (0.2 seconds/case) by the model is much lower than that of the physics-based reservoir simulator (3600 seconds/case). Therefore, the proposed method offers predictions as accurate as our physics-based reservoir simulations, while provides a huge saving of computation time. To the authors' best knowledge, prediction of the precipitation and dissolution of minerals in a supervised learning approach using the simulation data has not been studied before in the literature. The DL models developed in this study can serve as a computationally faster alternative to conventional numerical simulators to assess mineralization trapping in GCS projects especially for the mineral trapping mechanism.
地质固碳过程中矿物溶解和降水预测的深度学习模型
在地质碳封存(GCS)中,矿化是一种安全的二氧化碳捕获机制,可以防止地质碳封存项目后期可能发生的泄漏。GCS过程中的矿化建模依赖于储层数值模拟,但由于物理过程复杂,计算成本过高。因此,深度学习(DL)模型可以作为一种计算成本更低的方法,同时也是传统数值模拟器的可靠替代品。在这项工作中,我们已经开发了一种DL方法来有效地预测各种重要矿物的溶解和沉淀,包括钙长石、高岭石和方解石,在二氧化碳注入深盐水含水层期间。建立了储层模型,模拟了CO2的地质封存过程。为了生成训练DL模型的综合数据集,进行了大约750次模拟。在模拟数据集上训练傅里叶神经算子(Fourier Neural Operator, FNO)模型,该模型以储层和井性质以及时间信息为输入,在空间和时间尺度上预测矿物的沉淀和溶解。在训练过程中,选择均方根误差(RMSE)作为损失函数,避免过拟合。为了衡量预测效果,我们采用平均绝对百分比误差(AAPE)和决定系数(R2)两个指标,将训练好的模型应用于测试数据集上不同矿物的浓度预测,预测结果占整个数据集的10%。方解石模型、高岭石模型、钙长石模型的R2值分别为0.95、0.94和0.93。R2是根据预测和基本事实计算出的所有可训练点。另一方面,所有映射的平均AAPE都在1%左右,表明所训练的模型可以有效地预测矿物浓度的时空演化。该模型的预测CPU时间(0.2秒/例)远低于基于物理的油藏模拟器(3600秒/例)。因此,所提出的方法提供的预测与我们基于物理的油藏模拟一样准确,同时大大节省了计算时间。据作者所知,在使用模拟数据的监督学习方法中预测矿物的沉淀和溶解在文献中尚未研究过。本研究开发的DL模型可以作为传统数值模拟器计算速度更快的替代方案,用于评估GCS项目中的矿化圈闭,特别是矿物圈闭机制。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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