Stability and stable production limit of an oil production well

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ORIGINAL PAPER-PRODUCTION ENGINEERING

Stability and stable production limit of an oil production well Asekhame U. Yadua1   · Kazeem A. Lawal2   · Oluchukwu M. Okoh1   · Mathilda I. Ovuru2 · Stella I. Eyitayo2 · Saka Matemilola2 · Chinyere C. Obi1 Received: 18 May 2020 / Accepted: 13 August 2020 © The Author(s) 2020

Abstract Unstable well flow is detrimental to the technical and economic performances of an integrated production system. To miti‑ gate this problem, it is imperative to understand the stability limits and predict the onset of unstable production of an oil well. Taking advantage of the phenomenon of slug flow and the onset of unstable equilibrium from inflow performance and vertical lift curves of a producing well, this paper presents a new method for evaluating the stability of an oil production well on the one hand and estimating its stable production limits in terms of wellhead flowing pressure and flow rate on the other hand. A novelty of this work is the introduction and quantitative characterization of three distinct stability phases in the performance of a production well. These phases are uniquely identified as stable, transition and unstable flows. Practical examples and field cases demonstrate the robustness of the new method. When compared against results from a commercial wellbore simulator for the same set of problems, the new method yields an average absolute deviation of 5.3%. Additional validation tests against a common, but more computationally demanding method of stability analysis yield satisfactory results. Several parametric tests conducted with the proposed model and method provide additional insights into some of the major factors that control well stability, highlighting scope for production optimization in practice. Overall, this work should find applications in the design and management of production wells. Keywords  Well performance · Well stability · Unstable production · Intermittent production · Operating envelope · Flow assurance

* Asekhame U. Yadua [email protected] Kazeem A. Lawal kazeem.lawal@first‑epdc.com Oluchukwu M. Okoh [email protected] Mathilda I. Ovuru mathilda.ovuru@first‑epdc.com Stella I. Eyitayo stella.eyitayo@first‑epdc.com Saka Matemilola saka.matemilola@first‑epdc.com Chinyere C. Obi [email protected] 1



Nigerian Petroleum Development Company (NPDC), Benin City, Nigeria



FIRST Exploration and Petroleum Development Company (FIRST E&P), Lagos, Nigeria

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List of symbols A, a Constant [psi/(STB/d)2] B, b Constant [psi/(STB/d)] Bo Oil formation volume factor (bbl/STB) C, c Constant (psi) D Tubing inner diameter (ft) fF Fanning friction factor (dimensionless) fw Water cut (STB/STB) fwo Water–oil ratio (STB/STB) h True vertical depth from the wellhead to the top of the drainage interval (ft) JL Liquid productivity index (STB/d/psi) k Permeability (mD) K1 Characteristic parameter in Blick et al. (1988) ­(s2) K2 Characteristic parameter in Blick et al. (1988) (s) K3 Characteristic parameter in Blick et al. (19