Estimation of States and Parameters of a Drift-Flux Model with Unscented Kalman Filter

Nikoofard, Amirhossein; Aarsnes, Ulf Jakob F.; Johansen, Tor Arne; Kaasa, Glenn-Ole

doi:10.1016/j.ifacol.2015.08.026

Cited by 17 publications

(10 citation statements)

References 21 publications

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“…The Lyapunov-based adaptive observer has better performance than the other methods for estimation of the production constants of gas and liquid from the reservoir into the well when the production constant of gas is increased from 0.05 kg/s/bar to 0.07 kg/s/bar. In DFM, it is expected that estimation of the slip parameters can improve accuracy of the production parameters estimation [14]. Therefore, errors in slip parameters might cause a bias in the estimation of the production parameters with UKF based on DFM when the reservoir parameters change.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…designed an UKF for estimation of unmeasured states, production and slip parameters of simplified drift-flux model using real time measurements of the bottom-hole pressure and liquid and gas rate at the outlet [14]. Di Meglio et al designed an adaptive observer based on a backstepping approach for a linear first-order hyperbolic system of Partial Differential Equations (PDEs) by using only boundary measurements with application to UBD [15].…”

Section: Introductionmentioning

confidence: 99%

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Reservoir characterization in under-balanced drilling using low-order lumped model

Nikoofard

Kaasa

Johansen

2018

Journal of Process Control

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Estimation of the production index of oil and gas from the reservoir into the well during Under-Balanced Drilling (UBD) is studied. This paper compares a Lyapunov-based adaptive observer and a joint unscented Kalman filter (UKF) based on a low order lumped (LOL) model and the joint UKF based on the distributed drift-flux model by using real-time measurements of the choke and the bottom-hole pressures. Using the OLGA simulator, it is found that all adaptive observers are capable of identifying the production constants of gas and liquid from the reservoir into the well, with some differences in performance. The results show that the LOL model is sufficient for the purpose of reservoir characterization during UBD operations. Robustness of the adaptive observers is investigated in case of uncertainties and errors in the reservoir and well parameters of the models.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reservoir characterization in under-balanced drilling using low-order lumped model

Nikoofard

Kaasa

Johansen

2018

Journal of Process Control

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“…The unscented Kalman filter (UKF) has been shown to typically have a better performance than other Kalman filter techniques for nonlinear systems ( [22], [23]). Nikoofard et al used an UKF with the drift-flux model for the first time [24]. They designed an UKF for estimation of unmeasured states, production and slip parameters of simplified drift-flux model using real time measurements of the bottom-hole pressure and liquid and gas rate at the outlet [24].…”

Section: Introductionmentioning

confidence: 99%

“…Nikoofard et al used an UKF with the drift-flux model for the first time [24]. They designed an UKF for estimation of unmeasured states, production and slip parameters of simplified drift-flux model using real time measurements of the bottom-hole pressure and liquid and gas rate at the outlet [24]. This paper is an extended version of work published in [24] which presents the design of a UKF based on a simplified drift-flux model to estimate the states, geological properties of the reservoir and slip parameters during UBD operation.…”

Section: Introductionmentioning

confidence: 99%

“…They designed an UKF for estimation of unmeasured states, production and slip parameters of simplified drift-flux model using real time measurements of the bottom-hole pressure and liquid and gas rate at the outlet [24]. This paper is an extended version of work published in [24] which presents the design of a UKF based on a simplified drift-flux model to estimate the states, geological properties of the reservoir and slip parameters during UBD operation. In this work, both production indices of gas and liquid and unmeasured states are estimated by using only measurements of the choke and the bottom-hole pressures during UBD operation for a pipe connection procedure.…”

Section: Introductionmentioning

confidence: 99%

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State and Parameter Estimation of a Drift-Flux Model for Underbalanced Drilling Operations

Nikoofard

Aarsnes

Johansen

et al. 2017

IEEE Trans. Contr. Syst. Technol.

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Abstract-We consider a drift-flux model (DFM) describing multiphase (gas-liquid) flow during drilling. The DFM uses a specific slip law which allows for transition between single and two phase flows. With this model, we design Unscented and Extended Kalman Filters (UKF and EKF) for estimation of unmeasured state, production, and slip parameters using real time measurements of the bottom-hole pressure, outlet pressure, and outlet flow-rate. The OLGA high-fidelity simulator is used to create two scenarios from Under-Balanced Drilling (UBD) on which the estimators are tested: A pipe connection scenario and a scenario with a changing production index. A performance comparison reveals that both UKF and EKF are capable of identifying the production indices of gas and oil from the reservoir into the well with acceptable accuracy, while the UKF is more accurate than the EKF. Robustness of the UKF and EKF for the pipe connection scenario is studied in case of uncertainties and errors in the reservoir and well parameters of the model. It is found that these methods are very sensitive to errors in the reservoir pore pressure value. However, they are robust in the presence of error in the liquid density value of the model.

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An approximate well‐balanced upgrade of Godunov‐type schemes for the isothermal Euler equations and the drift flux model with laminar friction and gravitation

Abbasi

Lordejani

Berg

et al. 2020

Numerical Methods in Fluids

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In this article, approximate well‐balanced (WB) finite‐volume schemes are developed for the isothermal Euler equations and the drift flux model (DFM), widely used for the simulation of single‐ and two‐phase flows. The proposed schemes, which are extensions of classical schemes, effectively enforce the WB property to obtain a higher accuracy compared with classical schemes for both the isothermal Euler equations and the DFM in case of nonzero flow in the presences of both laminar friction and gravitation. The approximate WB property also holds for the case of zero flow for the isothermal Euler equations. This is achieved by defining a relevant average of the source terms which exploits the steady‐state solution of the system of equations. The new extended schemes reduce to the original classical scheme in the absence of source terms in the system of equations. The superiority of the proposed WB schemes to classical schemes, in terms of accuracy and computational effort, is illustrated by means of numerical test cases with smooth steady‐state solutions. Furthermore, the new schemes are shown numerically to be approximately first‐order accurate.

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Estimation of States and Parameters of a Drift-Flux Model with Unscented Kalman Filter

Cited by 17 publications

References 21 publications

Reservoir characterization in under-balanced drilling using low-order lumped model

Reservoir characterization in under-balanced drilling using low-order lumped model

State and Parameter Estimation of a Drift-Flux Model for Underbalanced Drilling Operations

An approximate well‐balanced upgrade of Godunov‐type schemes for the isothermal Euler equations and the drift flux model with laminar friction and gravitation

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