GEM-International Journal on Geomathematics最新文献

Fused ensembles of dynamic-rupture earthquake simulations to accelerate Bayesian inference. 动态破裂地震模拟的融合集成加速贝叶斯推理。

IF 1.3

GEM-International Journal on Geomathematics Pub Date : 2026-01-01 Epub Date: 2026-04-09 DOI: 10.1007/s13137-026-00287-6

Vikas Kurapati, David Schneller, Linus Seelinger, Zihua Niu, Alice-Agnes Gabriel, Michael Bader

{"title":"Fused ensembles of dynamic-rupture earthquake simulations to accelerate Bayesian inference.","authors":"Vikas Kurapati, David Schneller, Linus Seelinger, Zihua Niu, Alice-Agnes Gabriel, Michael Bader","doi":"10.1007/s13137-026-00287-6","DOIUrl":"10.1007/s13137-026-00287-6","url":null,"abstract":"<p><p>Understanding earthquake dynamics is essential for seismic hazard assessment and risk mitigation. In this context, Bayesian inference provides valuable insights into model parameters by combining simulation models with real-world data. Such Bayesian parameter inference with uncertainty quantification (UQ) requires numerous simulation runs and is therefore often computationally infeasible. Already, a single high-fidelity earthquake simulation - governed by a linear hyperbolic seismic wave equation coupled nonlinearly to a friction law and plastic deformation - is computationally expensive. In this study, we investigate the use of fused ensemble simulations to accelerate large earthquake simulation workflows and UQ studies. We implement and evaluate this approach in SeisSol, a high-performance computing software for the simulation of complex earthquake events that uses an Arbitrary high-order DERivative Discontinuous Galerkin (ADER-DG) scheme. Via fused ensembles, we turn the element-local small sparse/dense matrix operations into tensor contractions working on a dense rank-3 tensor and sparse matrices. These are again executed via loops of small, sparse/dense matrix operations, but with better computational efficiency, due to better exploitation of SIMD instructions on CPUs. We also compare two implementation variants (with different implementation effort) for kernels modeling non-linear dynamic rupture and effects of material plasticity. Our results demonstrate that fused simulations can be up to 5.54 times faster than a single execution - though this depends strongly on the discretization order, the problem size, and the compute architecture. For a full UQ example workflow, we demonstrate a speedup of 1.6, resulting in 36% savings in node hours for the entire workflow.</p>","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"17 1","pages":"8"},"PeriodicalIF":1.3,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13065561/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147677347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Solute transport prediction in heterogeneous porous media using random walks and machine learning 利用随机漫步和机器学习预测非均质多孔介质中的溶质输运

GEM-International Journal on Geomathematics Pub Date : 2023-10-27 DOI: 10.1007/s13137-023-00240-x

Lazaro J. Perez, George Bebis, Sean A. McKenna, Rishi Parashar

引用次数: 0

Clemens Heine—Springer’s promoter of geomathematics 克莱门斯·海涅-斯普林格的地理数学推动者

GEM-International Journal on Geomathematics Pub Date : 2023-10-20 DOI: 10.1007/s13137-023-00239-4

Willi Freeden

引用次数: 0

Antiplane deformation of an orthotropic layer due to surface loads 由表面载荷引起的正交各向异性层的反平面变形

GEM-International Journal on Geomathematics Pub Date : 2023-09-26 DOI: 10.1007/s13137-023-00238-5

Anu Chohla, Sunita Rani

引用次数: 0

High order mimetic differences applied to the convection–diffusion equation: a matrix stability analysis 应用于对流扩散方程的高阶模拟差分:矩阵稳定性分析

GEM-International Journal on Geomathematics Pub Date : 2023-09-13 DOI: 10.1007/s13137-023-00232-x

Jorge Villamizar, Larry Mendoza, Giovanni Calderón, Otilio Rojas, Jose E. Castillo

引用次数: 0

Characterization of synthetic porous media images by using fractal and multifractal analysis 用分形和多重分形分析表征合成多孔介质图像

GEM-International Journal on Geomathematics Pub Date : 2023-09-13 DOI: 10.1007/s13137-023-00237-6

Pablo Pavón-Domínguez, Marina Díaz-Jiménez

{"title":"Characterization of synthetic porous media images by using fractal and multifractal analysis","authors":"Pablo Pavón-Domínguez, Marina Díaz-Jiménez","doi":"10.1007/s13137-023-00237-6","DOIUrl":"https://doi.org/10.1007/s13137-023-00237-6","url":null,"abstract":"Abstract Fractal and multifractal analysis of porous images allow the description of porous media through a scale-invariant understanding. There have been numerous works that have used these analysis techniques for the description of a great variety of real porous media. However, these studies are usually comparative, being difficult to discern the role played by the pore size and pore distribution in the results of fractal and multifractal analysis. This works develops an in-depth study of different synthetic porous media from a fractal and multifractal approach, in which both the pore size and its distribution in the medium are parameterized. Thus, a set of synthetic binary images have been generated obtaining deterministic and random structures with different fixed pore sizes and also with different rates of pore sizes. Lacunarity is also calculated in order to complete the aforementioned analysis. Results evinces that fractal dimension increases with pore size and that it is higher when the pore distribution obeys a random distribution versus a deterministic one. However, when the pore size is very large, fractal dimension is similar regardless of the pore distribution. From a multifractal approach, pore size is negatively correlated with the degree of multifractality. In fact, in images with mixtures of different pore sizes it is also found that the greater the ratio of small pores, the greater degree of multifractality. By contrast, when the ratio of large pores is relevant, the degree of multifractality also increases due to the merging of macro-pores.","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"91 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135734508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Statistical analysis of heat-induced rock physics and mineralogical alteration processes of monzogranite samples from Bátaapáti, Hungary 匈牙利Bátaapáti二长花岗岩样品热致岩石物理及矿化过程统计分析

IF 1.8

GEM-International Journal on Geomathematics Pub Date : 2023-08-23 DOI: 10.1007/s13137-023-00234-9

Andor Németh, Á. Török

引用次数: 0

A study on the reflection of quasi Rayleigh waves in a magneto self reinforced thermoelastic medium with fractional order derivative 准瑞利波在分数阶导数磁自增强热弹性介质中的反射研究

IF 1.8

GEM-International Journal on Geomathematics Pub Date : 2023-08-09 DOI: 10.1007/s13137-023-00233-w

Smita, R. Dwivedi, Prashant K. Jha

引用次数: 0

Use of random forest for assessing the effect of water quality parameters on the biological status of surface waters 利用随机森林评价水质参数对地表水生物状况的影响

IF 1.8

GEM-International Journal on Geomathematics Pub Date : 2023-07-20 DOI: 10.1007/s13137-023-00229-6

O. Szomolányi, A. Clement

引用次数: 1

Mimetic finite difference operators and higher order quadratures 模拟有限差分算子和高阶正交

IF 1.8

GEM-International Journal on Geomathematics Pub Date : 2023-07-19 DOI: 10.1007/s13137-023-00230-z

Anand Srinivasan, M. Dumett, Christopher Paolini, Guillermo F. Miranda, Jose E. Castillo

引用次数: 1