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Transport in Porous Media

, Volume 102, Issue 2, pp 227–259 | Cite as

Simulations of Microbial-Enhanced Oil Recovery: Adsorption and Filtration

  • S. M. NielsenEmail author
  • I. Nesterov
  • A. A. Shapiro
Article

Abstract

In the context of microbial-enhanced oil recovery (MEOR) with injection of surfactant-producing bacteria into the reservoir, different types of bacteria attachment and growth scenarios are studied using a 1D simulator. The irreversible bacteria attachment due to filtration similar to the deep bed filtration (DBF) is examined along with the commonly used reversible equilibrium adsorption (REA). The characteristics of the two models are highlighted. The options for bacteria growth are the uniform growth in both phases and growth of attached bacteria only. It is found that uniform growth scenario applied to filtration model provides formation of two oil banks during recovery. This feature is not reproduced by application of REA model or DBF with growth in attached phase. This makes it possible to select a right model based on the qualitative analysis of the experimental data. A criterion is introduced to study the process efficiency: the dimensionless time at which average recovery between pure water injection and maximum surfactant effect is reached. This characteristic recovery period (CRP) was studied as a function of the different MEOR parameters such as bacterial activity, filtration coefficients, and substrate injection concentrations. For both growth scenarios, there is a zone of optimal activity at which the CRP is minimal. Dependence of the CRP on substrate concentration for uniform growth scenario has also an optimal zone. Therefore, growth rate and the substrate concentration should be above a certain threshold value and still not be too high to obtain the minimum CRP. On the other hand, no such zone was found if the bacteria could grow only in the attached phase. Dependencies on both the injected concentration and filtration coefficient are monotonous in this case.

Keywords

Microbial-enhanced oil recovery Modeling Surfactant Deep bed filtration Equilibrium adsorption Bacteria 

List of Symbols

Variables

\(a\)

Exponent in Corey relative permeabilities

\(a_\mathrm{Th}\)

Constant in Thullner’s expression

\(b\)

Exponent in Corey relative permeabilities

\(f_{j}\)

Fractional flow function for phase j

\(F_{i}\)

Overall component flux

\({\mathcal {F}}\)

Check function for multivariable Newton procedure in appendix

\(g(\sigma _\mathrm{ow})\)

Interpolation function

\(k\)

Permeability

\(K_{i}\)

Partitioning coefficient for surfactant

\(K_\mathrm{s}\)

Half saturation constant in Monod expression (kg/m\(^{3}\))

\(k_{rj}\)

Phase relative permeability

\(k_\mathrm{rowi}\)

Endpoint relative permeability for oil at swi

\(k_\mathrm{rwor}\)

Endpoint relative permeability for water at (\(1-{s}_\mathrm{or})\)

\(L\)

Length of the reservoir (m)

\({\mathcal {M}}_\mathrm{b}\)

Mass of bacteria adsorbed per unit area \((\hbox {kg}/\hbox {m}^{2})\)

\(n\)

Exponent in interpolation function

\(n_\mathrm{p}\)

Number of phases

\(n_\mathrm{Th}\)

Threshold porosity constant for Thullner’s expression

\(q_{ij}\)

Source term \((\hbox {m}^{3}/\hbox {day})\)

\(Q_\mathrm{i}\)

Volumetric injection velocity \((\hbox {m}^{3}/\hbox {day})\)

\(r_\mathrm{b}\)

Bacterial reaction rate \((\hbox {day}^{-1})\)

\(R_{i}\)

Overall reaction rate \((\hbox {day}^{-1})\)

\(\hat{{s}}\)

Sum of water and attached bacteria saturations \((\hbox {m}^{3}/\hbox {m}^{3})\)

\(s_{j}\)

Saturation of phase \(j\) \((\hbox {m}^{3}/\hbox {m}^{3})\)

\(s_\mathrm{or}\)

Residual oil saturation \((\hbox {m}^{3}/\hbox {m}^{3})\)

\(s_\mathrm{wi}\)

Initial water saturation \((\hbox {m}^{3}/\hbox {m}^{3})\)

\(\tilde{S}\)

Specific surface (\(\hbox {m}^{2}/\hbox {m}^{3}\) total volume)

\({\mathcal {S}}\)

Efficient-specific surface (\(\hbox {m}^{2}/\hbox {m}^{3}\) PV)

\(t\)

Time (day)

\(u_\mathrm{d}\)

Dimensionless velocity

\(v_{t}\)

Linear velocity (m/day)

\(v_\mathrm{inj}\)

Injection velocity (m/day)

\(v_{i}\)

Volume fraction (\(\hbox {m}^{3}/\hbox {m}^{3}\) PV)

\(V_{T}\)

Porous volume of one block (\(\hbox {m}^{3}\) PV)

\(w_{1}\)

Constant in the Langmuir type expression for partitioning of bacteria (m)

\(w_{2}\)

Constant in the Langmuir type expression for partitioning of bacteria (m\(^3\)/kg)

\(x\)

Horizontal axis in sample reservoir (m)

\(y\)

Horizontal axis in sample reservoir (m)

\(Y_\mathrm{sb}\)

Yield of bacteria on substrate (kg/kg)

\(Y_\mathrm{sm}\)

Yield of surfactant/metabolite on substrate (kg/kg)

Greek Symbol

\(\alpha \)

Constant describing the time for injection of one pore volume

\(\beta \)

Constant in permeability modification model for DBF

\({\bar{\eta }}\)

Characteristic recovery

\(\lambda '\)

Filtration coefficient \((\hbox {m}^{-1})\)

\(\lambda \)

Dimensionless filtration coefficient

\(\mu _{j}\)

Phase viscosity (cP)

\(\mu _\mathrm{gen}\)

General bacterial activity \((\hbox {day}^{-1})\)

\(\mu _\mathrm{max}\)

Maximum growth rate in Monod expression \((\hbox {day}^{-1})\)

\(\omega _{ij}\)

Concentration of component \(i\) in phase \(j\) (\(\hbox {kg}/\hbox {m}^{3}\) phase)

\(\varOmega _{i}\)

Overall concentration of component \(i\) (\(\hbox {kg}/\hbox {m}^{3}\) PV)

\(\varphi _{0}\)

Initial porosity

\(\rho _{i}\)

Component density \((\hbox {kg}/\hbox {m}^{3})\)

\(\sigma \)

Phase saturation for attached bacteria \((\hbox {m}^{3}/\hbox {m}^{3})\)

\(\sigma _\mathrm{ow}\)

Interfacial tension between oil and water (mN/m)

\(\tau \)

Dimensionless time (PVI)

\({\bar{\tau }}\)

Characteristic recovery period

\(\xi \)

Dimensionless length

Subscripts and Superscripts

*

Estimated/predicted value

inj

Index indicating injection

\(i\)

Index for component

\(j\)

Index for phase

\(k\)

Spatial index for discretization in appendix

\(b\)

Index for bacteria

\(m\)

Index for surfactant (metabolite)

\(n\)

Time index for discretization in appendix

\(o\)

Index for oil

\(s\)

Index for substrate

surf

Index indicating at surfactant flooding

\(w\)

Index for water

Abbreviations

CRP

Characteristic recovery period

DBF

Deep bed filtration

EOR

Enhanced oil recovery

IFT

Interfacial tension

MEOR

Microbial-enhanced oil recovery

OOIP

Original oil in place

PVI

Pore volumes injected

REA

Reversible equilibrium adsorption

WF

Water flooding

Notes

Acknowledgments

We acknowledge The Danish National Advanced Technology Foundation, Maersk Oil and DONG E&P for financial support. As a part of the BioRec project, we also would like to acknowledge all project partners for relevant scientific input: DTU, Maersk Oil, DONG E&P, Novozymes, Danish Technological Institute and Roskilde University.

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© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Center for Energy Resources Engineering - CERE, Department of Chemical and Biochemical EngineeringTechnical University of DenmarkLyngbyDenmark

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