Scale up of reactive processes in heterogeneous media - Numerical experiments and semi-analvtical modeling

Harpreet Singh, Sanjay Srinivasan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

Performance prediction of reactive processes such as those associated with injection of chemicals that react with rock and fluids require accurate models for the processes. Frequently, these processes are studied at laboratory scale and modeling them at the field scale entails scaling-up of laboratory observations taking into account the spatial variability of parameters. The current practice is to perform spatial averaging of attributes and account for residual variability by calibration and history matching. This results in poor predictions of future reservoir performance. In this paper we scale-up such reactive transport processes considering both the spatial and temporal characteristics of these processes. The first part of the paper investigates spatiotemporal scale-up of dispersivity accounting for field heterogeneity and reactivity of CO2. In this case, we investigate scale up by performing numerical simulations. Transport processes in reservoir models at three different length scales are simulated assuming homogeneous and heterogeneous permeability models. The variation in dispersivity with spatiotemporal scale is plotted and various conclusions are deduced regarding the impact of the permeability and conservative/reactive transport on the scale up characteristics of disersivity and mixing zone length. In the second part of the paper, a semi-analytical model for spatiotemporal covariance describing the reaction-dispersion process is used to derive the Representative Elementary Volume (REV) of concentration in combined space and time. The spatiotemporal covariance is used to compute the variance of mean concentration and REV is defined as the space-time scale over which the stabilization of this variance is achieved. Key results of this work are that the scaling characteristics of dispersivity distinctly differ for low permeability and high permeability media. Heterogeneous media with spatial arrangements of both high and low permeability regions exhibit scaling characteristics of both high and low permeability media. Another important result is that reactions affect scaling characteristics of dispersivity in heterogeneous media. The semi-analytical models for scale-up of reaction-dispersion processes indicate that purely spatial or temporal investigation does not produce accurate estimate of REV. However, when scaling is investigated in a spatiotemporal setting, then the REV can be defined fairly accurately. These results can be important for designing laboratory experiments and to predict scaled-up field response. Additionally, results also demonstrate that spatiotemporal numerical discretization of recovery processes for representing them in numerical flow simulations should be done appropriately based on the combined spatiotemporal REV scale of the process.

Original languageEnglish (US)
Title of host publicationSociety of Petroleum Engineers - 19th SPE Improved Oil Recovery Symposium, IOR 2014
PublisherSociety of Petroleum Engineers (SPE)
Pages1451-1468
Number of pages18
ISBN (Print)9781632663863
StatePublished - Jan 1 2014
Event19th SPE Improved Oil Recovery Symposium, IOR 2014 - Tulsa, OK, United States
Duration: Apr 12 2014Apr 16 2014

Publication series

NameProceedings - SPE Symposium on Improved Oil Recovery
Volume3

Other

Other19th SPE Improved Oil Recovery Symposium, IOR 2014
CountryUnited States
CityTulsa, OK
Period4/12/144/16/14

Fingerprint

heterogeneous medium
dispersivity
permeability
Analytical models
modeling
reactive transport
experiment
Experiments
Flow simulation
transport process
Stabilization
Rocks
Calibration
Recovery
Fluids
Computer simulation
prediction
simulation
stabilization
calibration

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Geotechnical Engineering and Engineering Geology

Cite this

Singh, H., & Srinivasan, S. (2014). Scale up of reactive processes in heterogeneous media - Numerical experiments and semi-analvtical modeling. In Society of Petroleum Engineers - 19th SPE Improved Oil Recovery Symposium, IOR 2014 (pp. 1451-1468). (Proceedings - SPE Symposium on Improved Oil Recovery; Vol. 3). Society of Petroleum Engineers (SPE).
Singh, Harpreet ; Srinivasan, Sanjay. / Scale up of reactive processes in heterogeneous media - Numerical experiments and semi-analvtical modeling. Society of Petroleum Engineers - 19th SPE Improved Oil Recovery Symposium, IOR 2014. Society of Petroleum Engineers (SPE), 2014. pp. 1451-1468 (Proceedings - SPE Symposium on Improved Oil Recovery).
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Singh, H & Srinivasan, S 2014, Scale up of reactive processes in heterogeneous media - Numerical experiments and semi-analvtical modeling. in Society of Petroleum Engineers - 19th SPE Improved Oil Recovery Symposium, IOR 2014. Proceedings - SPE Symposium on Improved Oil Recovery, vol. 3, Society of Petroleum Engineers (SPE), pp. 1451-1468, 19th SPE Improved Oil Recovery Symposium, IOR 2014, Tulsa, OK, United States, 4/12/14.

Scale up of reactive processes in heterogeneous media - Numerical experiments and semi-analvtical modeling. / Singh, Harpreet; Srinivasan, Sanjay.

Society of Petroleum Engineers - 19th SPE Improved Oil Recovery Symposium, IOR 2014. Society of Petroleum Engineers (SPE), 2014. p. 1451-1468 (Proceedings - SPE Symposium on Improved Oil Recovery; Vol. 3).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - Performance prediction of reactive processes such as those associated with injection of chemicals that react with rock and fluids require accurate models for the processes. Frequently, these processes are studied at laboratory scale and modeling them at the field scale entails scaling-up of laboratory observations taking into account the spatial variability of parameters. The current practice is to perform spatial averaging of attributes and account for residual variability by calibration and history matching. This results in poor predictions of future reservoir performance. In this paper we scale-up such reactive transport processes considering both the spatial and temporal characteristics of these processes. The first part of the paper investigates spatiotemporal scale-up of dispersivity accounting for field heterogeneity and reactivity of CO2. In this case, we investigate scale up by performing numerical simulations. Transport processes in reservoir models at three different length scales are simulated assuming homogeneous and heterogeneous permeability models. The variation in dispersivity with spatiotemporal scale is plotted and various conclusions are deduced regarding the impact of the permeability and conservative/reactive transport on the scale up characteristics of disersivity and mixing zone length. In the second part of the paper, a semi-analytical model for spatiotemporal covariance describing the reaction-dispersion process is used to derive the Representative Elementary Volume (REV) of concentration in combined space and time. The spatiotemporal covariance is used to compute the variance of mean concentration and REV is defined as the space-time scale over which the stabilization of this variance is achieved. Key results of this work are that the scaling characteristics of dispersivity distinctly differ for low permeability and high permeability media. Heterogeneous media with spatial arrangements of both high and low permeability regions exhibit scaling characteristics of both high and low permeability media. Another important result is that reactions affect scaling characteristics of dispersivity in heterogeneous media. The semi-analytical models for scale-up of reaction-dispersion processes indicate that purely spatial or temporal investigation does not produce accurate estimate of REV. However, when scaling is investigated in a spatiotemporal setting, then the REV can be defined fairly accurately. These results can be important for designing laboratory experiments and to predict scaled-up field response. Additionally, results also demonstrate that spatiotemporal numerical discretization of recovery processes for representing them in numerical flow simulations should be done appropriately based on the combined spatiotemporal REV scale of the process.

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Singh H, Srinivasan S. Scale up of reactive processes in heterogeneous media - Numerical experiments and semi-analvtical modeling. In Society of Petroleum Engineers - 19th SPE Improved Oil Recovery Symposium, IOR 2014. Society of Petroleum Engineers (SPE). 2014. p. 1451-1468. (Proceedings - SPE Symposium on Improved Oil Recovery).