Texas A&M University College Station - Mathematics
Doctor of Philosophy (Ph.D.)
Working towards my PhD dissertation under the direction of Dr. Prabir Daripa. Also
Founding member and President of the SIAM Student Chapter at Texas A&M and the Math Department Delegate to the Graduate & Professional Student Council of Texas A&M.
Applied Mathematics
Society of Industrial and Applied Mathematics - SIAM
American Mathematical Society - AMS
Statistical and Applied Mathematical Sciences Institute - SAMSI
Texas A&M University
Integrated M.Sc.
Mathematics & Computing
Member(2005-10)/ Governor(2007-08) of BTDS (Bengali Dramatics Society)
\nHall Council of RP Hall (2006-07)
\nMusic Team
\nDramatics Team
\nElocution Team.
Indian Institute of Technology
Kharagpur
Stochastic Processes
Discrete Mathematics
Hydrodynamic Stability
Numerical Analysis
Numerical Solution of ODE and PDE
Topology
Partial Differential Equations
Transform Calculus
Differential Geometry
Real Analysis
Conservation Laws
Operations Research
Advanced PDE theory
Complex Analysis
WBCHSE(XII) -2005
MATH
PHY
CH
STAT
ENG
BENG
South Point
Waterflood simulation on strongly channelised SPE10 permeability data
Numerical simulation of waterflooding a quarter five-spot pattern oil reservoir using a new hybrid method. The model uses a new global pressure formulation for incompressible
multicomponent two-phase fluid flows. The numerical method is based on a combination of a discontinuous FEM and a Method of Characteristics based FDM.
Waterflood simulation on strongly channelised SPE10 permeability data
Comparison of EOR flooding schemes
Comparison of numerical simulations of water flood
polymer flood
surfactant flood and surfactant-polymer flood. These are 4 main flooding schemes used in chemical Enhanced Oil Recovery (EOR). The simulations are done on a 2D highly heterogeneous Upper Ness type permeability field extracted from the SPE10 dataset.
Comparison of EOR flooding schemes in a quarter five-spot geometry
The Big Event at Texas A&M University
Volunteer for Pi Day of the Century celebrations
Volunteered for the Pi Day of the Century celebrations at the Mathematics Department of Texas A&M. It was a huge event organized especially for children and young adults of the community to raise awareness about science and to inculcate a passion for mathematics. I was also a judge for events like the Pi digits memorization contest.
Department of Mathematics
Texas A&M University
Mathematica
Algorithms
Numerical Analysis
Matlab
Multiphase Flow
Fluid Dynamics
Mathematical Modeling
Partial Differential Equations
Simulations
Numerical Simulation
Statistics
Optimization
Fluid Mechanics
LaTeX
Image Processing
Modeling
C
Applied Mathematics
Unix
COMSOL
Optimization of a managed aquifer recharge network
E.W. Jenkins
S.E. Howington
K.R. Fowler
J. C. Chrispell
Proceedings of the 2014 South Carolina Water Resources Conference
Over the last few decades
groundwater resources in many regions have been depleted at a faster rate than the underlying aquifers have been replenished. This imbalance has led water management agencies to consider managed aquifer recharge networks
where infiltration basins are used to replenish the aquifers using previously-uncaptured storm water runoff. In this work
we utilize optimization to evaluate the costs associated with constructing such a network and the ability of the network to meet demands placed on the aquifer. Our objective function incorporates land and construction costs
along with rewards for effective aquifer recharge. We enforce capture of a minimum volume of storm water runoff by penalizing the cost. We present results for two\nbasin networks
one based on results from the literature and another based on a study of the Pajaro Valley region in California. The Pajaro Valley example is used as our realistic test case
and we use the analysis to suggest the viability of a managed aquifer recharge network in a particular sub-watershed associated with the area.
Optimization of a managed aquifer recharge network
Prabir Daripa
Journal of Computational Physics
Chemical enhanced oil recovery by surfactant-polymer (SP) flooding has been studied in two space dimensions. A new global pressure for incompressible
immiscible
multicomponent two-phase porous media flow has been derived in the context of SP flooding. This has been used to formulate a system of flow equations that incorporates the effect of capillary pressure and also the effect of polymer and surfactant on viscosity
interfacial tension and relative permeabilities of the two phases. The coupled system of equations for pressure
water saturation
polymer concentration and surfactant concentration has been solved using a new hybrid method in which the elliptic global pressure equation is solved using a discontinuous finite element method and the transport equations for water saturation and concentrations of the components are solved by a Modified Method Of Characteristics (MMOC) in the multicomponent setting. Numerical simulations have been performed to validate the method
both qualitatively and quantitatively
and to evaluate the relative performance of the various flooding schemes for several different heterogeneous reservoirs.
Modeling and simulation of surfactant polymer flooding using a new hybrid method
In this article
the convergence of a hybrid numerical method introduced in Daripa & Dutta (2017) has been established. This method integrates a discontinuous finite element method with a modified method of characteristics (MMOC) in combination with finite difference (FD) procedures
and has been successfully applied to solve a coupled system of nonlinear equations that arises in multicomponent two-phase porous media flows. The present convergence analysis is focused on the MMOC-FD procedure for a nonlinear system of transport equations. For this purpose
an analogous single-component system of transport equations has been considered and some key ideas for possible extension to multicomponent systems have been briefly discussed. Error estimates have been obtained and these estimates have also been shown to be consistent with realistic numerical simulations of flows arising in enhanced oil recovery processes.
On the convergence analysis of a hybrid numerical method for multicomponent transport in porous media
Optimal design of a managed aquifer recharge network for the Pajaro Valley in California.
Dutta
I am a Postdoctoral Fellow at U.S. Army Engineer Research and Development Center (ERDC). I did a PhD in Applied Mathematics from Texas A&M University. \n\nMy current research focuses on Model Order Reduction techniques for various complex fluid flow problems. I am also interested in Modelling and Analysis of fluid flow in porous media. I have expertise in numerical simulations of multiphase
multicomponent fluid flows which are described by coupled nonlinear advection-diffusion systems of PDEs and pose several analytical and computational challenges.\n
Sourav
SAMSI
Texas A&M University
University of Bremen
Indian Institute of Technology
Kharagpur
U.S. Army Engineer Research and Development Center (ERDC)
Co-founded and served as the President of the Texas A&M University Chapter of SIAM (Society for Industrial and Applied Mathematics). \n\n1) Organized several research seminars and social events to facilitate interaction among graduate students interested in applied mathematics. \n\n2) Co-organized the first visit of Dr. Cleve Moler
the creator of MATLAB and co-founder of MathWorks
to Texas A&M. Organized a workshop on \"Scientific Computing with MATLAB at Texas A&M\". Authored an article on this visit for SIAM News. (https://sinews.siam.org/DetailsPage/TabId/900/ArtMID/2243/ArticleID/783/MATLAB-Creator-Cleve-Moler-Visits-Texas-AM-University.aspx)\n\n3) Initiated and co-organized the Industrial and Applied Math Seminar of the Math Department from Spring 2016.
President
Bryan/College Station
Texas Area
Texas A&M University Chapter of SIAM
College Station
Texas
Thesis Advisor: Dr. Prabir Daripa\n\nI worked on development and implementation of an efficient model to solve a coupled system\nof variable-coefficient
elliptic and parabolic partial differential equations. The problem also involves the time-space evolution of an interface with discontinuity across it. \nThe model has specific application in the field of chemical enhanced oil recovery techniques like surfactant-polymer flooding. In this case
we model the effect of polymer and surfactant on the capillary pressure and the interfacial tension between the fluids and also on rock-fluid properties like residual saturation and relative permeability. The coupled system of nonlinear equations is solved using a modern
hybrid method that combines a non-traditional discontinuous finite element method and an implicit-time finite difference method based on the modified method of characteristics.
PhD Student
Texas A&M University
Participated in a 10-day workshop organized by SAMSI at North Carolina State University. Worked on the problem of \"Optimization and Analysis of a Managed Aquifer Recharge Network\"
which was presented to us by Dr. Matthew Farthing (US Army Corps of Engineers ERDC) and Dr. Eleanor Jenkins(Clemson University).
Industrial Mathematical and Statistical Modeling Workshop
Raleigh-Durham
North Carolina Area
SAMSI
Topic : Lid-driven Cavity problem (Dr. G.P. RajaSekhar)\nSpecial case of the Lid-Driven Cavity problem
when the cavity is filled with a porous material
either partially or fully.Developed and studied a new single-domain approach to solve the governing equations (Navier-Stokes and Darcy) with a high-order nine-point finite difference scheme.\n\nTopic : Oscillatory flow around a spherical porous pellet (Dr. G.P. RajaSekhar)\nNumerical simulations of convection
diffusion and reaction in a spherical porous pellet in presence of oscillatory flow where the reaction follows isothermal first order kinetics.\n\nCode developed in both MATLAB and C.
Integrated M.Sc.
Math & Computing
Kharagpur Area
India
Indian Institute of Technology
Kharagpur
Bryan/College Station
Texas Area
Duties: \n1) Instructor of Record for MATH 166 (Fall 2015)\n Taught a class of 63 undergraduate students and received excellent evaluations.\n2) Led a preparatory class for graduate students appearing for the Complex Analysis qualifying exam in Summer 2014.\n3) Recitation
grading
help sessions and Lab sessions for various undergraduate and graduate courses.
Graduate Teaching Assistant
Texas A&M University
Vicksburg
Postdoctoral Fellow
U.S. Army Engineer Research and Development Center (ERDC)
Bremen
Germany
Center of Industrial Mathematics
ZeTeM.\n\nTopics: a) Numerical simulations of diffusion process in a porous medium through periodic homogenization
\nb) Parametric study of the influence of micro-structure geometry on the rate and nature of diffusion
\nc) Numerical simulations of diffusion-reaction process in a porous medium with time evolving\nmicro-structure geometry
\nd) Specific applications in carbonation of a layer of concrete
\n\nExperience: Worked with COMSOL Multiphysics.
Research Intern
University of Bremen
Society of Industrial and Applied Mathematics
American Mathematical Society
Statistical and Applied Mathematical Sciences Institute
Mathematics Department Delegate
Graduate & Professional Student Council
Texas A&M
Founded and served as the President of the Texas A&M University Student Chapter of SIAM (Society for Industrial and Applied Mathematics) from August 2015 - July 2016.
President
Texas A&M University Chapter of SIAM
English
Regional Mathematics Olympiad
Finished among the top 10 in the Regional Mathematics Olympiad (RMO 2003) for Eastern India and appeared in the Indian National Mathematics Olympiad (INMO 2004).
2nd place for Oral Presentation
Awarded 2nd place for Oral Presentation by a graduate student in the subject area of Math
Statistics and Computer Science at the Student Research Week 2016. It is the annual research showcase event for undergraduate and graduate students at Texas A&M University.
Student Research Week 2016
Texas A&M University
L. F. Guseman Prize in Mathematics
Awarded every year by the Department of Mathematics of Texas A&M to two graduate students for outstanding achievement in research
teaching or service.
Department of Mathematics
Texas A&M University
SIAM Student Travel Award
Awarded the Student Travel Award for giving both an oral and a poster presentation at the SIAM Annual Meeting 2016 in Boston
USA between July 11-15.
Society for Industrial and Applied Mathematics
SIAM Student Chapter Certificate of Recognition
Awarded for outstanding efforts and accomplishments on behalf of the SIAM Chapter at Texas A&M University.
Society for Industrial and Applied Mathematics