Finite element modeling of the shaped charge jet and design of the reusable perforating gun
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ORIGINAL PAPER
Finite element modeling of the shaped charge jet and design of the reusable perforating gun Zhao Zhang1 · Wei‑Wei Jin1,2 Received: 20 December 2019 © The Author(s) 2020
Abstract Finite element method is used to study the formations of the penetration jet, the bulge, and the burr in the designed reusable perforating gun. The attached layer of the soft metal on the perforator is studied for the controlling of the bulge height on the casing of the reusable perforating gun. Results indicate that the shaped charge jet is initially formed in the center of the shaped charge liner and then the material of the liner is driven to the centerline of the liner by the detonation wave. The attachment of the soft metal layer to the cartridge of the perforator can be beneficial to control the bulge height. The design on the blind holes on the casing can affect the burr height formed by the collision between the jet and the casing. With the increase in the liner angle, the penetration width on the cement wall of the wellbore is increased. Keywords Perforating gun · Finite element method · Bulge · Burr List of symbols A Material constant B Material constant c Material constant n Material constant m Material constant σy Stress 𝜀̄ pl Effective plastic strain 𝜀̇ Effective total strain rate normalized by quasi-static threshold rate T* Homologous temperature Ta Ambient temperature Tm Melting temperature 𝜀̄̇ p Effective total strain rate 𝜀̇ 0 Quasi-static threshold rate P Pressure V Volume of the charge Edited by Xiu-Qiu Peng * Zhao Zhang [email protected] 1
State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, China
Institute of Manned Space System Engineering, China Academy of Space Technology, Beijing 100094, China
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E Initial ratio of internal energy A1 Material constant B1 Material constant ω Material constant R1 Material constant R2 Material constant C The intercept of vs–vp curve S1 Coefficient of the slope of the vs–vp curve S2 Coefficient of the slope of the vs–vp curve S3 Coefficient of the slope of the vs–vp curve vs Shear wave speed vp Compressive wave speed γ0 Gruneisen gamma a First-order volume correction to γ0 ρ0 Initial density ρ Density μ Volumetric parameter K Tangent modulus σs Yield stress g Flow potential dλ Plastic state parameter σ0 Initial yield stress C Cowper–Symonds parameter P Cowper–Symonds parameter β Hardening parameter Ep Plastic hardening modulus Etan Tangent modulus EW External work
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Vol.:(0123456789)
Petroleum Science
EK Kinematic energy EU Internal energy EF Frictional energy EV Dissipated viscous energy EI Remaining energy σc Stress without viscous dissipation effect σv Viscous stress εe Elastic strain εp Plastic strain εc Creep strain W Penetration width v Maximum jet velocity
1 Introduction Perforation is very important in the petroleum well completions. The perfo
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