Groundwater Modeling, Inverse Characterization, and Parallel Computing

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Groundwater Modeling, Inverse Characterization, and Parallel Computing Kumar Mahinthakumar NC State University

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Groundwater Modeling, Inverse Characterization, and Parallel Computing. Kumar Mahinthakumar NC State University. My Background. Numerical modeling of groundwater flow and transport Developed PGREM3D – P arallel G roundwater REM ediation model – 3D finite element - PowerPoint PPT Presentation

Transcript of Groundwater Modeling, Inverse Characterization, and Parallel Computing

Page 1: Groundwater Modeling, Inverse Characterization,  and Parallel Computing

Groundwater Modeling, Inverse Characterization, and Parallel

Computing

Kumar MahinthakumarNC State University

Page 2: Groundwater Modeling, Inverse Characterization,  and Parallel Computing

My Background• Numerical modeling of groundwater flow and transport

– Developed PGREM3D – Parallel Groundwater REMediation model – 3D finite element

– GW2D – two dimensional educational models for groundwater flow and transport

• High Performance Computing– Parallel algorithms, Solvers, Parallel performance analysis

• Optimization and Inverse modeling– Groundwater source identification– Hydraulic conductivity inversion– Water distribution source identification and leak detection– Population based optimization algorithms (GA, PSO)– Markov Chain Monte Carlo Methods

Page 3: Groundwater Modeling, Inverse Characterization,  and Parallel Computing

Groundwater Remediation Modelingusing PGREM3D

Savannah River Site Investigation 1997

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Groundwater Source Identification: 3-Source release history reconstruction

sampling points

SourcesC1(t), C2(t), C3(t) are the unknown release

histories

1 2 3

4 5 6

78 9

10 11 12

13 14 15

16 17 18

flow direction

(x1,y1,z1)

(x2,y2,z2)

C1(t)

C2(t)

C3(t)

333 m

167 m

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Plume and Recovered History

0 50 100 150 200 250 300 350 400 450 5000

50

100

150

200

250

300

0

10

20

30

40

50

60

70

80

90

(1,1

)

(1,2

)

(1,3

)

(1,4

)

(1,5

)

(1,6

)

(1,7

)

(1,8

)

(1,9

)

(1,1

0)

(2,1

)

(2,2

)

(2,3

)

(2,4

)

(2,5

)

(2,6

)

(2,7

)

(2,8

)

(2,9

)

(2,1

0)

(3,1

)

(3,2

)

(3,3

)

(3,4

)

(3,5

)

(3,6

)

(3,7

)

(3,8

)

(3,9

)

(3,1

0)

Source (Number, Duration)

Rel

ease

Con

cent

ratio

n (m

g/l)

ActualRecovered (RGA-HKJ)Recovered (RGA-PWl)Recovered (RGA-CG)

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5-source release history reconstruction

0

10

20

30

40

50

60

70

80

90

100

(1,1

)(1

,3)

(1,5

)(1

,7)

(1,9

)(2

,1)

(2,3

)(2

,5)

(2,7

)(2

,9)

(3,1

)(3

,3)

(3,5

)(3

,7)

(3,9

)(4

,1)

(4,3

)(4

,5)

(4,7

)(4

,9)

(5,1

)(5

,3)

(5,5

)(5

,7)

(5,9

)

Source(number, duration)

Rel

ease

co

nce

ntr

atio

n (

mg

/l)

Actual

RGA-CG

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RGA-LS results for a 5-source problem

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Hydraulic Conductivity Inversion using the Pilot Point Method

True K-field Prior

Inversion without Regularization Inversion with Regularization

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Parallel Computing: Multi-level Hybrid GA-LS-FEM framework

G A

GA

FEM 0 1

2

p procs

FEM 1 1

2

p procs

FEM P 1

2

p procs

MGA

MGA

FEM 1

2

p procs

FEM 1

LS n Powells

LS 1 simplex

LS 2 simplex

LS 3 Hookes

FEM 2

FEM P

FEM 1

FEM 2

FEM P

FEM

FEM

FEM 1

2

p procs

Global Search Local Search

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Scalability of PSO on ORNL’s Jaguar Supercomputer

Jaguar PF: 299,008 AMD CoresWeak Scaling of our PSO Simulation-Optimization

framework Showing Over 80% efficiency up to 200,000 cores

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WSC Project Tasks

• Hydrologic Modeling (4.3)– PIHM – Penn-State Integrated Hydrologic Model for

groundwater surface water interaction– SWAT-MODFLOW simulations

• Water Infrastructure Models (4.4)– Groundwater pumping effects (MODFLOW or

PGREM3D)– Reservoir model

• Parallel computing– Ensemble reservoir stream flow calculations