activity
20182022
most citedDesign of convergence criterion for fixed stress split iterative scheme for small strain anisotropic poroelastoplasticity coupled with single phase flow

28 citations · 117 across the 13 of their papers we have counts for

collaborators

13 papers

cs.LG2022★ 1 cited

Comparison of LSTM autoencoder based deep learning enabled Bayesian inference using two time series reconstruction approaches

Saumik Dana

In this work, we use a combination of Bayesian inference, Markov chain Monte Carlo and deep learning in the form of LSTM autoencoders to build and test a framework to provide robus…

physics.geo-ph2021

Bayesian inference and Markov chain Monte Carlo based estimation of a geoscience model parameter

Saumik Dana, Karthik Reddy

The critical slip distance in rate and state model for fault friction in the study of potential earthquakes can vary wildly from micrometers to few meters depending on the length s…

cs.CE2021★ 9 cited

Uncertainty Quantification in Friction Model for Earthquakes using Bayesian inference

Saumik Dana, Karthik Reddy Lyathakula

This work presents a framework to inversely quantify uncertainty in the model parameters of the friction model using earthquake data via the Bayesian inference. The forward model i…

physics.geo-ph2021

A fault slip model to study earthquakes due to pore pressure perturbations

Saumik Dana, Birendra Jha

The burgeoning need to sequester anthropogenic CO for climate mitigation and the need for energy sustenance leading upto enhanced geothermal energy production has made it incre…

cs.CE2021★ 19 cited

Two-grid method on unstructured tetrahedra: Applying computational geometry to staggered solution of coupled flow and mechanics problems

Saumik Dana, Xiaoxi Zhao, Birendra Jha

We develop a computational framework that leverages the features of sophisticated software tools and numerics to tackle some of the pressing issues in the realm of earth sciences.…

cs.CE2020★ 15 cited

A machine learning accelerated FE homogenization algorithm for elastic solids

Saumik Dana, Mary F Wheeler

The FE homogenization algorithm for multiscale modeling iterates between the macroscale and the microscale (represented by a representative volume element) till convergence is…

cs.CE2020★ 3 cited

An efficient algorithm for numerical homogenization of fluid filled porous solids: part-I

Saumik Dana, Mary F Wheeler

The concept of representative volume element or RVE is invoked to develop an algorithm for numerical homogenization of fluid filled porous solids. RVE based methods decouple analys…

cs.CE2019★ 1 cited

A simple framework for arriving at bounds on effective moduli in heterogeneous anisotropic poroelastic solids

Saumik Dana

The concepts of representative volume element (RVE), statistical homogeneity and homogeneous boundary conditions are invoked to arrive at bounds on effective moduli for heterogeneo…

math.NA2019★ 28 cited

Design of convergence criterion for fixed stress split iterative scheme for small strain anisotropic poroelastoplasticity coupled with single phase flow

Saumik Dana, Mary F Wheeler

We arrive at convergence criterion for the fixed stress split iterative scheme for single phase flow coupled with small strain anisotropic poroelastoplasticity. The analysis is bas…

physics.flu-dyn2019★ 26 cited

System of equations and staggered solution algorithm for immiscible two-phase flow coupled with linear poromechanics

Saumik Dana

This document is a presentation of the equations of simultaneous water and oil flow in deformable porous medium and linear poromechanics as well as the staggered solution algorithm…

math.NA2018★ 2 cited

The correspondence between Voigt and Reuss bounds and the decoupling constraint in a two-grid staggered solution algorithm to coupled flow and deformation in heterogeneous poroelastic media

Saumik Dana, Mary F Wheeler

We perform a convergence analysis of a two-grid staggered solution algorithm for the Biot system modeling coupled flow and deformation in heterogeneous poroelastic media. The algor…

math.NA2018★ 3 cited

Convergence analysis of fixed stress split iterative scheme for small strain anisotropic poroelastoplasticity: a primer

Saumik Dana, Mary F. Wheeler

This work serves as a primer to our efforts in arriving at convergence estimates for the fixed stress split iterative scheme for single phase flow coupled with small strain anisotr…

math.NA2018★ 10 cited

Augmented Lagrangian for treatment of hanging nodes in hexahedral meshes

Saumik Dana

The surge of activity in the resolution of fine scale features in the field of earth sciences over the past decade necessitates the development of robust yet simple algorithms that…