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Theoretical and CFD modelling of single and slug oil, water and gas flows in a deepwater rigid jumper

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Abstract

In the present work, computational fluid dynamics modelling (CFD) of single-phase flow (oil, water, gas) and two-phase flows (oil/water, oil/gas, gas/oil) was performed, to study the behaviour of these types of flow in a rigid jumper employed for the production of oil and gas in deepwater hydrocarbons fields. The jumper conducts the produced fluids from a subsea tree to a PLET. The modelled fluids were extracted from a drill stem testing study, corresponding to multiphase flow of water, gas and oil. In the present modelling strategy, the jumper and was considered thermally insulated to avoid heat transfer between internal fluids and external environmental conditions, and the end connectors of the jumpers were also considered insulated along with tree and PLET connection points. The flow patterns, pressure drops, slugs and flow velocity variations through the jumper were obtained from CFD simulations to visualize and study their behaviour in the jumper during the flow. The CFD pressure results were compared with theoretical calculations with good agreement, producing fast results. However, CFD results allowed to visualize internal flow behaviour, calculate the time needed by each flow condition from jumper inlet to jumper outlet, flow patterns, pressure drops, etc. The methodology can also be used to estimate the production rate of the different modelled flows, to identify critical flow conditions inside a rigid jumper and select the appropriate jumper internal diameter.

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Abbreviations

\({\text{d}}P\) :

Differential of pressure

\({\text{d}}v\) :

Differential of velocity

\(\varepsilon\) :

Turbulence dissipation relation

\(f_{{\text{g}}}\) :

Gas friction factor

\(f_{{\text{o}}}\) :

Oil friction factor

\(f_{{\text{w}}}\) :

Water friction factor

\(g\) :

Gravity

\(G_{{\text{k}}}\) :

Kinetic turbulence energy due to mean velocity gradients

\(h_{{{\text{Lc}}}}\) :

Pressure drops in elbows

\(h_{{\text{T}}}\) :

Total pressure

\(I_{{\text{g}}}\) :

Gas turbulence intensity

\(I_{{\text{o}}}\) :

Oil turbulence intensity

\(I_{{\text{w}}}\) :

Water turbulence intensity

\(k\) :

Turbulence kinetic energy

\(\mu_{{\text{t}}}\) :

Turbulent viscosity

\(N\) :

Reynolds number

\(P_{1}\) :

Inlet pressure

\(P_{2}\) :

Outlet pressure

\(Q\) :

Volumetric flow

\(R\) :

Ideal gases constant

\(\sigma_{\varepsilon }\) :

Prandtl number in function of \(\varepsilon\)

\(\sigma_{k}\) :

Prandtl number in function of \(k\)

\(v_{{\text{g}}}\) :

Gas velocity

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Correspondence to Rubén Cuamatzi-Meléndez.

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Cuamatzi-Meléndez, R., Tetlalmatzin-García, S., Dionicio-Bravo, S.D. et al. Theoretical and CFD modelling of single and slug oil, water and gas flows in a deepwater rigid jumper. J. Ocean Eng. Mar. Energy 9, 603–622 (2023). https://doi.org/10.1007/s40722-023-00286-x

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  • DOI: https://doi.org/10.1007/s40722-023-00286-x

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