Computational Geosciences最新文献

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Constrained pressure-temperature residual (CPTR) preconditioner performance for large-scale thermal CO $$_2$$ injection simulation 用于大规模一氧化碳_2$$注入热模拟的受限压力-温度残差(CPTR)预处理器的性能
IF 2.5 3区 地球科学
Computational Geosciences Pub Date : 2024-05-01 DOI: 10.1007/s10596-024-10292-z
Matthias A. Cremon, Jacques Franc, François P. Hamon
{"title":"Constrained pressure-temperature residual (CPTR) preconditioner performance for large-scale thermal CO $$_2$$ injection simulation","authors":"Matthias A. Cremon, Jacques Franc, François P. Hamon","doi":"10.1007/s10596-024-10292-z","DOIUrl":"https://doi.org/10.1007/s10596-024-10292-z","url":null,"abstract":"<p>This work studies the performance of a novel preconditioner, designed for thermal reservoir simulation cases and recently introduced in Roy et al. (SIAM J. Sci. Comput. <b>42</b>, 2020) and Cremon et al. (J. Comput. Phys. <b>418C</b>, 2020), on large-scale thermal CO<span>(_2)</span> injection cases. For Carbon Capture and Sequestration (CCS) projects, injecting CO<span>(_2)</span> under supercritical conditions is typically tens of degrees colder than the reservoir temperature. Thermal effects can have a significant impact on the simulation results, but they also add many challenges for the solvers. More specifically, the usual combination of an iterative linear solver (such as GMRES) and the Constrained Pressure Residual (CPR) physics-based block-preconditioner is known to perform rather poorly or fail to converge when thermal effects play a significant role. The Constrained Pressure-Temperature Residual (CPTR) preconditioner retains the <span>(2times 2)</span> block structure (elliptic/hyperbolic) of CPR but includes the temperature in the elliptic subsystem. Doing so allows the solver to appropriately handle the long-range, elliptic part of the parabolic energy equation. The elliptic subsystem is now formed by two equations, and is dealt with by the system-solver of BoomerAMG (from the HYPRE library). Then a global smoother, ILU(0), is applied to the full system to handle the local, hyperbolic temperature fronts. We implemented CPTR in the multi-physics solver GEOS and present results on various large-scale thermal CCS simulation cases, including both Cartesian and fully unstructured meshes, up to tens of millions of degrees of freedom. The CPTR preconditioner severely reduces the number of GMRES iterations and the runtime, with cases timing out in 24h with CPR now requiring a few hours with CPTR. We present strong scaling results using hundreds of CPU cores for multiple cases, and show close to linear scaling. CPTR is also virtually insensitive to the thermal Péclet number (which compares advection and diffusion effects) and is suitable to any thermal regime.</p>","PeriodicalId":10662,"journal":{"name":"Computational Geosciences","volume":"17 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140829198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Speeding up the reservoir simulation by real time prediction of the initial guess for the Newton-Raphson’s iterations 通过实时预测牛顿-拉斐森迭代的初始猜测,加快水库模拟速度
IF 2.5 3区 地球科学
Computational Geosciences Pub Date : 2024-04-09 DOI: 10.1007/s10596-024-10284-z
Musheg Petrosyants, Vladislav Trifonov, Egor Illarionov, Dmitry Koroteev
{"title":"Speeding up the reservoir simulation by real time prediction of the initial guess for the Newton-Raphson’s iterations","authors":"Musheg Petrosyants, Vladislav Trifonov, Egor Illarionov, Dmitry Koroteev","doi":"10.1007/s10596-024-10284-z","DOIUrl":"https://doi.org/10.1007/s10596-024-10284-z","url":null,"abstract":"<p>We study linear models for the prediction of the initial guess for the nonlinear Newton-Raphson solver. These models use one or more of the previous simulation steps for prediction, and their parameters are estimated by the ordinary least-squares method. A key feature of the approach is that the parameter estimation is performed using data obtained directly during the simulation and the models are updated in real time. Thus we avoid the expensive process of dataset generation and the need for pre-trained models. We validate the workflow on a standard benchmark Egg dataset of two-phase flow in porous media and compare it to standard approaches for the estimation of initial guess. We demonstrate that the proposed approach leads to reduction in the number of iterations in the Newton-Raphson algorithm and speeds up simulation time. In particular, for the Egg dataset, we obtained a 30% reduction in the number of nonlinear iterations and a 20% reduction in the simulation time.</p>","PeriodicalId":10662,"journal":{"name":"Computational Geosciences","volume":"59 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140569732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A method for developing and calibrating optimization techniques for oil production management strategy applications 开发和校准石油生产管理策略应用优化技术的方法
IF 2.5 3区 地球科学
Computational Geosciences Pub Date : 2024-04-08 DOI: 10.1007/s10596-024-10282-1
Leandro H. Danes, Guilherme D. Avansi, Denis J. Schiozer
{"title":"A method for developing and calibrating optimization techniques for oil production management strategy applications","authors":"Leandro H. Danes, Guilherme D. Avansi, Denis J. Schiozer","doi":"10.1007/s10596-024-10282-1","DOIUrl":"https://doi.org/10.1007/s10596-024-10282-1","url":null,"abstract":"<p>The hydrocarbon extraction process is complex and involves numerous design variables and mitigating risk. Numerous time-consuming simulations are required to maximize objective functions such as NPV from a particular field while contemplating a significant representation of uncertainty scenarios and various production strategies. Production strategies searches may result in a high-dimensional search space which can yield sub-optimal reservoir economical exploration. As a solution, appropriate optimization algorithms selection and tuning may provide good solutions with lesser simulations. This paper presents a methodology to calibrate, develop, and select optimization algorithms for oil production strategy applications while quantifying the dimension and optimum location effects. Global optimum location altered the best method to be selected. It presents a novel algorithm (ASLHC) and a modification of the Nelder-Mead method (NMNS) to improve its high dimensionality performance. Performances of six pre-calibrated techniques were compared using novel normalized mathematical functions. Optimizations were limited to a 500 evaluation functions computational budget. The PSO, ASLHC, NMNS, and IDLHC were selected and implemented to perform production strategy improvements regarding two parameterizations of the reservoir management variables for a real reservoir model with restricted platform. Results showed the implemented algorithms successfully improved NPV by at least 8% at each of the 24 real-case optimizations. After upscaling the selected techniques for a 115 variable parameterization, the NMNS and IDLHC demonstrated good resilience against local convergence and each technique kept improving during all iterations of the process. An optimization method recommendation chart is presented based on the computational budget of the application.</p>","PeriodicalId":10662,"journal":{"name":"Computational Geosciences","volume":"39 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140569731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Improvements in the genetic algorithm inversion of receiver functions using extinction and a new selection approach 利用消光和新的选择方法改进接收器函数的遗传算法反演
IF 2.5 3区 地球科学
Computational Geosciences Pub Date : 2024-04-06 DOI: 10.1007/s10596-024-10283-0
Admore Phindani Mpuang, Takuo Shibutani
{"title":"Improvements in the genetic algorithm inversion of receiver functions using extinction and a new selection approach","authors":"Admore Phindani Mpuang, Takuo Shibutani","doi":"10.1007/s10596-024-10283-0","DOIUrl":"https://doi.org/10.1007/s10596-024-10283-0","url":null,"abstract":"<p>Despite the robustness of standard genetic algorithms in receiver functions inversion for crustal and uppermost mantle velocity-depth structure, one drawback is that towards the end of a ‘run’, only a few variations in solution ideas are explored. This may lead to the stagnation of the optimization process and can be a major drawback for large model dimensions. To mitigate this problem, we introduced a new selection method that retains the best features of explored models, with an extinction procedure that increases the exploration of the model space through the principle of self-organized criticality. We test the performance of the modified genetic algorithm technique by applying it to the inversion of synthetically generated receiver functions for crustal velocity structure and comparing the results with those obtained using a standard genetic algorithm. The test cases involve using 2 different objective functions, based on the L2 norm and cosine similarity, with 2 different model parameterizations of different model sizes. The results show that our modified genetic algorithm improves the inversion process by consistently obtaining best models with the lowest misfit values and a distribution of best models with less deviations from the true model values. With an improvement of computation time of up to 11.2%, the results suggest that the modified genetic algorithm is best suited to obtain higher accuracy results in shorter computation times which will be especially useful for higher dimension models needing larger pool sizes.</p>","PeriodicalId":10662,"journal":{"name":"Computational Geosciences","volume":"14 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140569815","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of the hyperparameter optimisation of four machine learning satellite imagery classification methods 四种机器学习卫星图像分类方法的超参数优化分析
IF 2.5 3区 地球科学
Computational Geosciences Pub Date : 2024-04-05 DOI: 10.1007/s10596-024-10285-y
Francisco Alonso-Sarría, Carmen Valdivieso-Ros, Francisco Gomariz-Castillo
{"title":"Analysis of the hyperparameter optimisation of four machine learning satellite imagery classification methods","authors":"Francisco Alonso-Sarría, Carmen Valdivieso-Ros, Francisco Gomariz-Castillo","doi":"10.1007/s10596-024-10285-y","DOIUrl":"https://doi.org/10.1007/s10596-024-10285-y","url":null,"abstract":"<p>The classification of land use and land cover (LULC) from remotely sensed imagery in semi-arid Mediterranean areas is a challenging task due to the fragmentation of the landscape and the diversity of spatial patterns. Recently, the use of deep learning (DL) for image analysis has increased compared to commonly used machine learning (ML) methods. This paper compares the performance of four algorithms, Random Forest (RF), Support Vector Machine (SVM), Multilayer Perceptron (MLP) and Convolutional Network (CNN), using multi-source data, applying an exhaustive optimisation process of the hyperparameters. The usual approach in the optimisation process of a LULC classification model is to keep the best model in terms of accuracy without analysing the rest of the results. In this study, we have analysed such results, discovering noteworthy patterns in a space defined by the mean and standard deviation of the validation accuracy estimated in a 10-fold cross validation (CV). The point distributions in such a space do not appear to be completely random, but show clusters of points that facilitate the discovery of hyperparameter values that tend to increase the mean accuracy and decrease its standard deviation. RF is not the most accurate model, but it is the less sensitive to changes in hyperparameters. Neural Networks, tend to increase commission and omission errors of the less represented classes because their optimisation lead the model to learn better the most frequent classes. On the other hand, RF and MLP prediction layers are the most accurate from a general qualitative point of view.</p>","PeriodicalId":10662,"journal":{"name":"Computational Geosciences","volume":"43 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140569728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A multi-aggregator graph neural network for backbone exaction of fracture networks 用于断裂网络骨干切除的多聚合图神经网络
IF 2.5 3区 地球科学
Computational Geosciences Pub Date : 2024-04-04 DOI: 10.1007/s10596-024-10281-2
Tianji Zheng, Chengcheng Sun, Jian Zhang, Jiawei Ye, Xiaobin Rui, Zhixiao Wang
{"title":"A multi-aggregator graph neural network for backbone exaction of fracture networks","authors":"Tianji Zheng, Chengcheng Sun, Jian Zhang, Jiawei Ye, Xiaobin Rui, Zhixiao Wang","doi":"10.1007/s10596-024-10281-2","DOIUrl":"https://doi.org/10.1007/s10596-024-10281-2","url":null,"abstract":"<p>Accurately analyzing the flow and transport behavior in a large discrete fracture network is computationally expensive. Fortunately, recent research shows that most of the flow and transport occurs within a small backbone in the network, and identifying the backbone to replace the original network can greatly reduce computational consumption. However, the existing machine learning based methods mainly focus on the features of the fracture itself to evaluate the importance of the fracture, the local structural information of the fracture network is not fully utilized. More importantly, these machine learning methods can neither control the identified backbone’s size nor ensure the backbone’s connectivity. To solve these problems, a deep learning model named multi-aggregator graph neural network (MA-GNN) is proposed for identifying the backbone of discrete fracture networks. Briefly, MA-GNN uses multiple aggregators to aggregate neighbors’ structural features and thus generates an inductive embedding to evaluate the criticality score of each node in the entire fracture network. Then, a greedy algorithm, which can control the backbone’s size and connectivity, is proposed to identify the backbone based on the criticality score. Experimental results demonstrate that the backbone identified by MA-GNN can recover the transport characteristics of the original network, outperforming state-of-the-art baselines. In addition, MA-GNN can identify influential fractures with higher Kendall’s <span>(tau )</span> correlation coefficient and Jaccard similarity coefficient. With the ability of size control, our proposed MA-GNN can provide an effective balance between accuracy and computational efficiency by choosing a suitable backbone size.</p>","PeriodicalId":10662,"journal":{"name":"Computational Geosciences","volume":"105 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140569727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A mineral precipitation model based on the volume of fluid method 基于流体体积法的矿物沉淀模型
IF 2.5 3区 地球科学
Computational Geosciences Pub Date : 2024-04-01 DOI: 10.1007/s10596-024-10280-3
Ziyan Wang, Ilenia Battiato
{"title":"A mineral precipitation model based on the volume of fluid method","authors":"Ziyan Wang, Ilenia Battiato","doi":"10.1007/s10596-024-10280-3","DOIUrl":"https://doi.org/10.1007/s10596-024-10280-3","url":null,"abstract":"<p>A novel volume of fluid method is presented for mineral precipitation coupled with fluid flow and reactive transport. The approach describes the fluid-solid interface as a smooth transitional region, which is designed to provide the same precipitation rate and viscous drag force as a sharp interface. Specifically, the governing equation of mineral precipitation is discretized by an upwind scheme, and a rigorous effective viscosity model is derived around the interface. The model is validated against analytical solutions for mineral precipitation in channel and ring-shaped structures. It also compares well with interface tracking simulations of advection-diffusion-reaction problems. The methodology is finally employed to model mineral precipitation in fracture networks, which is challenging due to the low porosity and complex geometry. Compared to other approaches, the proposed model has a concise algorithm and contains no free parameters. In the modeling, only the pore space requires meshing, which improves the computational efficiency especially for low-porosity media.</p>","PeriodicalId":10662,"journal":{"name":"Computational Geosciences","volume":"34 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140569817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Conditional stochastic simulation of fluvial reservoirs using multi-scale concurrent generative adversarial networks 利用多尺度并发生成式对抗网络对河流水库进行条件随机模拟
IF 2.5 3区 地球科学
Computational Geosciences Pub Date : 2024-03-25 DOI: 10.1007/s10596-024-10279-w
Ting Zhang, Mengkai Yin, Hualin Bai, Anqin Zhang, Yi Du
{"title":"Conditional stochastic simulation of fluvial reservoirs using multi-scale concurrent generative adversarial networks","authors":"Ting Zhang, Mengkai Yin, Hualin Bai, Anqin Zhang, Yi Du","doi":"10.1007/s10596-024-10279-w","DOIUrl":"https://doi.org/10.1007/s10596-024-10279-w","url":null,"abstract":"<p>To accurately grasp the comprehensive geological features of fluvial reservoirs, it is necessary to exploit a robust modelling approach to visualize and reproduce the realistic spatial distribution that exhibits apparent and implicit depositional trends of fluvial regions. The traditional geostatistical modelling methods using stochastic modelling fail to capture the complex features of geological reservoirs and therefore cannot reflect satisfactory realistic patterns. Generative adversarial network (GAN), as one of the mainstream generative models of deep learning, performs well in unsupervised learning tasks. The concurrent single image GAN (ConSinGAN) is one of the variants of GAN. Based on ConSinGAN, conditional concurrent single image GAN (CCSGAN) is proposed in this paper to perform conditional simulation of fluvial reservoirs, through which the output of the model can be constrained by conditional data. The results show that ConSinGAN, with the introduction of conditional data, not only preserves the model and parameters for future use but also improves the quality of the simulation results compared to other modeling methods.</p>","PeriodicalId":10662,"journal":{"name":"Computational Geosciences","volume":"70 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140301427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new method based on multiresolution graph-based clustering for lithofacies analysis of well logging 基于多分辨率图谱聚类的测井岩性分析新方法
IF 2.5 3区 地球科学
Computational Geosciences Pub Date : 2024-03-23 DOI: 10.1007/s10596-024-10277-y
{"title":"A new method based on multiresolution graph-based clustering for lithofacies analysis of well logging","authors":"","doi":"10.1007/s10596-024-10277-y","DOIUrl":"https://doi.org/10.1007/s10596-024-10277-y","url":null,"abstract":"<h3>Abstract</h3> <p>The lithofacies analysis of logging data is an essential step in reservoir evaluation. Multiresolution graph-based clustering (MRGC) is a commonly used methodology that provides information on the best number of clusters and cluster fitting results for geological understanding. However, the cluster fusion approach of MRGC often leads to an overemphasis of the boundary constraints among clusters. MRGC neglects the global cluster distribution relationship, which limits its practical application effectiveness. This paper proposes a new methodology, named kernel multiresolution graph-based clustering (KMRGC), to improve the merging part of clustering in MRGC, and it can give more weight to the spatial relationship characteristics among clusters. The clustering performance of K-means, Gaussian Mixture Model(GMM), fuzzy c-means(FCM), Density-Based Spatial Clustering of Applications with Noise(DBSCN), spectral clustering, MRGC and KMRGC algorithm was evaluated on a publicly available training set and noisy dataset, and the best results in terms of the adjusted Rand coefficients and normalized mutual information(NMI) coefficients on most of the datasets were obtained using KMRGC algorithm. Finally, KMRGC was used for logging data lithofacies clustering in cased wells, and the clustering effect of KMRGC algorithm was much better than that of the K-means, GMM, FCM, DBSCN, spectral clustering and MRGC algorithms, and the accuracy and stability were better.</p>","PeriodicalId":10662,"journal":{"name":"Computational Geosciences","volume":"162 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140201771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rigid transformations for stabilized lower dimensional space to support subsurface uncertainty quantification and interpretation 稳定低维空间的刚性变换,支持地下不确定性量化和解释
IF 2.5 3区 地球科学
Computational Geosciences Pub Date : 2024-03-08 DOI: 10.1007/s10596-024-10278-x
Ademide O. Mabadeje, Michael J. Pyrcz
{"title":"Rigid transformations for stabilized lower dimensional space to support subsurface uncertainty quantification and interpretation","authors":"Ademide O. Mabadeje, Michael J. Pyrcz","doi":"10.1007/s10596-024-10278-x","DOIUrl":"https://doi.org/10.1007/s10596-024-10278-x","url":null,"abstract":"&lt;p&gt;Subsurface datasets commonly are big data, i.e., they meet big data criteria, such as large data volume, significant feature variety, high sampling velocity, and limited data veracity. Large data volume is enhanced by the large number of necessary features derived from the imposition of various features derived from physical, engineering, and geological inputs, constraints that may invoke the curse of dimensionality. Existing dimensionality reduction (DR) methods are either linear or nonlinear; however, for subsurface datasets, nonlinear dimensionality reduction (NDR) methods are most applicable due to data complexity. Metric-multidimensional scaling (MDS) is a suitable NDR method that retains the data's intrinsic structure and could quantify uncertainty space. However, like other NDR methods, MDS is limited by its inability to achieve a stabilized unique solution of the low dimensional space (LDS) invariant to Euclidean transformations and has no extension for inclusions of out-of-sample points (OOSP). To support subsurface inferential workflows, it is imperative to transform these datasets into meaningful, stable representations of reduced dimensionality that permit OOSP without model recalculation.&lt;/p&gt;&lt;p&gt;We propose using rigid transformations to obtain a unique solution of stabilized Euclidean invariant representation for LDS. First, compute a dissimilarity matrix as the MDS input using a distance metric to obtain the LDS for &lt;span&gt;(N)&lt;/span&gt;-samples and repeat for multiple realizations. Then, select the base case and perform a rigid transformation on further realizations to obtain rotation and translation matrices that enforce Euclidean transformation invariance under ensemble expectation. The expected stabilized solution identifies anchor positions using a convex hull algorithm compared to the &lt;span&gt;(N+1)&lt;/span&gt; case from prior matrices to obtain a stabilized representation consisting of the OOSP. Next, the loss function and normalized stress are computed via distances between samples in the high-dimensional space and LDS to quantify and visualize distortion in a 2-D registration problem. To test our proposed workflow, a different sample size experiment is conducted for Euclidean and Manhattan distance metrics as the MDS dissimilarity matrix inputs for a synthetic dataset.&lt;/p&gt;&lt;p&gt;The workflow is also demonstrated using wells from the Duvernay Formation and OOSP with different petrophysical properties typically found in unconventional reservoirs to track and understand its behavior in LDS. The results show that our method is effective for NDR methods to obtain unique, repeatable, stable representations of LDS invariant to Euclidean transformations. In addition, we propose a distortion-based metric, stress ratio (SR), that quantifies and visualizes the uncertainty space for samples in subsurface datasets, which is helpful for model updating and inferential analysis for OOSP. Therefore, we recommend the workflow's integration as an invariant ","PeriodicalId":10662,"journal":{"name":"Computational Geosciences","volume":"59 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140074309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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