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Title: Towards real-time forecasting of natural gas production by harnessing graph theory for stochastic discrete fracture networks

Abstract

In this work, we compare hydrocarbon production curves obtained from a graph-based reduced-order model with the high-fidelity Discrete Fracture Network (DFN) predictions for a fracture network created using data from a real shale site. We observe that the bounds for the high fidelity DFN model lie within the bounds for the reduced order model, implying that the reduced-order model provides a conservative estimate. Moreover, we found that except for first-passage times and late arriving mass, the production curves from the reduced-order model predict transport accurately. However, it is to be noted that the results are inspite of trading a three-dimensional geometry for a reduced system in the form of a graph, one that is 500–1000 times faster in terms of computational efficiency (for this particular application). In addition, we also compare the production curves for large drawdown and small drawdown using our graph approach. The reduced-order model is successful in showing that the long term productivity is higher in case of small drawdown although the initial productivity is higher for large drawdown. Thus, this reduced-order model offers great potential in uncertainty quantification for production, as well as in providing operators with information to make real-time decisions for optimal production.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1659197
Alternate Identifier(s):
OSTI ID: 1809634
Report Number(s):
LA-UR-19-28682
Journal ID: ISSN 0920-4105
Grant/Contract Number:  
89233218CNA000001; 20170103DR; 20170508DR
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Petroleum Science and Engineering
Additional Journal Information:
Journal Volume: 195; Journal ID: ISSN 0920-4105
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
03 NATURAL GAS; Computer Science; Earth Sciences; Mathematics

Citation Formats

Dana, Saumik Prasanta Kumar, Srinivasan, Shriram, Karra, Satish, Makedonska, Nataliia, Hyman, Jeffrey De'Haven, O'Malley, Daniel, Viswanathan, Hari S., and Srinivasan, Gowri. Towards real-time forecasting of natural gas production by harnessing graph theory for stochastic discrete fracture networks. United States: N. p., 2020. Web. doi:10.1016/j.petrol.2020.107791.
Dana, Saumik Prasanta Kumar, Srinivasan, Shriram, Karra, Satish, Makedonska, Nataliia, Hyman, Jeffrey De'Haven, O'Malley, Daniel, Viswanathan, Hari S., & Srinivasan, Gowri. Towards real-time forecasting of natural gas production by harnessing graph theory for stochastic discrete fracture networks. United States. https://doi.org/10.1016/j.petrol.2020.107791
Dana, Saumik Prasanta Kumar, Srinivasan, Shriram, Karra, Satish, Makedonska, Nataliia, Hyman, Jeffrey De'Haven, O'Malley, Daniel, Viswanathan, Hari S., and Srinivasan, Gowri. Sun . "Towards real-time forecasting of natural gas production by harnessing graph theory for stochastic discrete fracture networks". United States. https://doi.org/10.1016/j.petrol.2020.107791. https://www.osti.gov/servlets/purl/1659197.
@article{osti_1659197,
title = {Towards real-time forecasting of natural gas production by harnessing graph theory for stochastic discrete fracture networks},
author = {Dana, Saumik Prasanta Kumar and Srinivasan, Shriram and Karra, Satish and Makedonska, Nataliia and Hyman, Jeffrey De'Haven and O'Malley, Daniel and Viswanathan, Hari S. and Srinivasan, Gowri},
abstractNote = {In this work, we compare hydrocarbon production curves obtained from a graph-based reduced-order model with the high-fidelity Discrete Fracture Network (DFN) predictions for a fracture network created using data from a real shale site. We observe that the bounds for the high fidelity DFN model lie within the bounds for the reduced order model, implying that the reduced-order model provides a conservative estimate. Moreover, we found that except for first-passage times and late arriving mass, the production curves from the reduced-order model predict transport accurately. However, it is to be noted that the results are inspite of trading a three-dimensional geometry for a reduced system in the form of a graph, one that is 500–1000 times faster in terms of computational efficiency (for this particular application). In addition, we also compare the production curves for large drawdown and small drawdown using our graph approach. The reduced-order model is successful in showing that the long term productivity is higher in case of small drawdown although the initial productivity is higher for large drawdown. Thus, this reduced-order model offers great potential in uncertainty quantification for production, as well as in providing operators with information to make real-time decisions for optimal production.},
doi = {10.1016/j.petrol.2020.107791},
journal = {Journal of Petroleum Science and Engineering},
number = ,
volume = 195,
place = {United States},
year = {2020},
month = {8}
}

Works referenced in this record:

Statistical analysis of rock mass fracturing
journal, April 1983

  • Baecher, Gregory B.
  • Journal of the International Association for Mathematical Geology, Vol. 15, Issue 2
  • DOI: 10.1007/BF01036074

Characterizing flow and transport in fractured geological media: A review
journal, August 2002


A PDE-Constrained Optimization Formulation for Discrete Fracture Network Flows
journal, January 2013

  • Berrone, Stefano; Pieraccini, Sandra; Scialò, Stefano
  • SIAM Journal on Scientific Computing, Vol. 35, Issue 2
  • DOI: 10.1137/120865884

On mapping fracture networks onto continuum: MAPPING FRACTURE NETWORKS
journal, August 2008

  • Botros, Farag E.; Hassan, Ahmed E.; Reeves, Donald M.
  • Water Resources Research, Vol. 44, Issue 8
  • DOI: 10.1029/2007WR006092

Nested geological modelling of naturally fractured reservoirs
journal, March 2001


Characterizing rock joint geometry with joint system models
journal, January 1988

  • Dershowitz, W. S.; Einstein, H. H.
  • Rock Mechanics and Rock Engineering, Vol. 21, Issue 1
  • DOI: 10.1007/BF01019674

Derivation of equivalent pipe network analogues for three-dimensional discrete fracture networks by the boundary element method
journal, September 1999

  • Dershowitz, W. S.; Fidelibus, C.
  • Water Resources Research, Vol. 35, Issue 9
  • DOI: 10.1029/1999WR900118

Probabilistic and statistical methods in engineering geology: Specific methods and examples part I: Exploration
journal, February 1983

  • Einstein, H. H.; Baecher, G. B.
  • Rock Mechanics and Rock Engineering, Vol. 16, Issue 1
  • DOI: 10.1007/BF01030217

Flow Simulation in Three-Dimensional Discrete Fracture Networks
journal, January 2009

  • Erhel, Jocelyne; de Dreuzy, Jean-Raynald; Poirriez, Baptiste
  • SIAM Journal on Scientific Computing, Vol. 31, Issue 4
  • DOI: 10.1137/080729244

Dispersion in tracer flow in fractured geothermal systems
journal, April 1983

  • Horne, Roland N.; Rodriguez, Fernando
  • Geophysical Research Letters, Vol. 10, Issue 4
  • DOI: 10.1029/GL010i004p00289

Conforming Delaunay Triangulation of Stochastically Generated Three Dimensional Discrete Fracture Networks: A Feature Rejection Algorithm for Meshing Strategy
journal, January 2014

  • Hyman, Jeffrey D.; Gable, Carl W.; Painter, Scott L.
  • SIAM Journal on Scientific Computing, Vol. 36, Issue 4
  • DOI: 10.1137/130942541

dfnWorks: A discrete fracture network framework for modeling subsurface flow and transport
journal, November 2015


Influence of injection mode on transport properties in kilometer-scale three-dimensional discrete fracture networks: INFLUENCE OF INJECTION MODE IN 3-D DFNs
journal, September 2015

  • Hyman, J. D.; Painter, S. L.; Viswanathan, H.
  • Water Resources Research, Vol. 51, Issue 9
  • DOI: 10.1002/2015WR017151

Identifying Backbones in Three-Dimensional Discrete Fracture Networks: A Bipartite Graph-Based Approach
journal, January 2018

  • Hyman, Jeffrey D.; Hagberg, Aric; Osthus, Dave
  • Multiscale Modeling & Simulation, Vol. 16, Issue 4
  • DOI: 10.1137/18M1180207

Self-consistency of a heterogeneous continuum porous medium representation of a fractured medium
journal, January 2000

  • Jackson, C. Peter; Hoch, Andrew R.; Todman, Steve
  • Water Resources Research, Vol. 36, Issue 1
  • DOI: 10.1029/1999WR900249

Uncertainty in Prediction of Radionuclide Gas Migration from Underground Nuclear Explosions
journal, January 2014

  • Jordan, Amy B.; Stauffer, Philip H.; Zyvoloski, George A.
  • Vadose Zone Journal, Vol. 13, Issue 10
  • DOI: 10.2136/vzj2014.06.0070

Generation of coarse-scale continuum flow models from detailed fracture characterizations: CONTINUUM FLOW MODELS OF FRACTURED SYSTEMS
journal, October 2006

  • Karimi-Fard, M.; Gong, B.; Durlofsky, L. J.
  • Water Resources Research, Vol. 42, Issue 10
  • DOI: 10.1029/2006WR005015

Effect of advective flow in fractures and matrix diffusion on natural gas production
journal, October 2015

  • Karra, Satish; Makedonska, Nataliia; Viswanathan, Hari S.
  • Water Resources Research, Vol. 51, Issue 10
  • DOI: 10.1002/2014WR016829

Estimation of mean trace length of discontinuities
journal, January 1984

  • Kulatilake, P. H. S. W.; Wu, T. H.
  • Rock Mechanics and Rock Engineering, Vol. 17, Issue 4
  • DOI: 10.1007/BF01032335

The use of discrete fracture networks for modelling coupled geomechanical and hydrological behaviour of fractured rocks
journal, May 2017


Particle tracking approach for transport in three-dimensional discrete fracture networks: Particle tracking in 3-D DFNs
journal, September 2015

  • Makedonska, Nataliia; Painter, Scott L.; Bui, Quan M.
  • Computational Geosciences, Vol. 19, Issue 5
  • DOI: 10.1007/s10596-015-9525-4

Shale gas and non-aqueous fracturing fluids: Opportunities and challenges for supercritical CO2
journal, June 2015


The shale gas revolution: Barriers, sustainability, and emerging opportunities
journal, August 2017


Hydraulic Fracturing: History of an Enduring Technology
journal, December 2010

  • Montgomery, Carl T.; Smith, Michael B.
  • Journal of Petroleum Technology, Vol. 62, Issue 12
  • DOI: 10.2118/1210-0026-JPT

A New Approach to Simulating Flow in Discrete Fracture Networks with an Optimized Mesh
journal, January 2007

  • Mustapha, Hussein; Mustapha, Kassem
  • SIAM Journal on Scientific Computing, Vol. 29, Issue 4
  • DOI: 10.1137/060653482

Trends, prospects and challenges in quantifying flow and transport through fractured rocks
journal, February 2005


Pathline tracing on fully unstructured control-volume grids
journal, July 2012


A Generalized Mixed Hybrid Mortar Method for Solving Flow in Stochastic Discrete Fracture Networks
journal, January 2012

  • Pichot, G.; Erhel, J.; de Dreuzy, J. -R.
  • SIAM Journal on Scientific Computing, Vol. 34, Issue 1
  • DOI: 10.1137/100804383

Progress in understanding jointing over the past century
journal, August 1988


Effect of transport-pathway simplifications on projected releases of radionuclides from a nuclear waste repository (Sweden)
journal, August 2012


How Good Are Estimates of Transmissivity from Slug Tests in Fractured Rock?
journal, January 1998


Robust system size reduction of discrete fracture networks: a multi-fidelity method that preserves transport characteristics
journal, September 2018

  • Srinivasan, Shriram; Hyman, Jeffrey; Karra, Satish
  • Computational Geosciences, Vol. 22, Issue 6
  • DOI: 10.1007/s10596-018-9770-4

Model reduction for fractured porous media: a machine learning approach for identifying main flow pathways
journal, March 2019

  • Srinivasan, Shriram; Karra, Satish; Hyman, Jeffrey
  • Computational Geosciences, Vol. 23, Issue 3
  • DOI: 10.1007/s10596-019-9811-7

Physics-informed machine learning for backbone identification in discrete fracture networks
journal, May 2020


A continuum representation of fracture networks. Part I: Method and basic test cases
journal, September 2001


Tracer transport in a stochastic continuum model of fractured media
journal, October 1996

  • Tsang, Y. W.; Tsang, C. F.; Hale, F. V.
  • Water Resources Research, Vol. 32, Issue 10
  • DOI: 10.1029/96WR01397

Advancing Graph-Based Algorithms for Predicting Flow and Transport in Fractured Rock
journal, September 2018

  • Viswanathan, H. S.; Hyman, J. D.; Karra, S.
  • Water Resources Research, Vol. 54, Issue 9
  • DOI: 10.1029/2017WR022368

Estimating the intensity of rock discontinuities
journal, July 2000

  • Zhang, Lianyang; Einstein, H. H.
  • International Journal of Rock Mechanics and Mining Sciences, Vol. 37, Issue 5
  • DOI: 10.1016/S1365-1609(00)00022-8