skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Evaluation of flow characteristics of perforations including nonlinear effects using finite-element method

Abstract

This study presents results of finite element modelling of steady-state flow in perforated natural completions. Use of a carefully chosen mesh based on grid sensitivity analysis permits evaluation of flow with more precision than achieved by previous investigators. Also, for the first time, evaluation of flow characterstics of perforated completion is made taking into account the non-Darcy effect due to converging flow around the perforation. The results indicate: (1) confirmation of Locke's findings qualitatively but 5-10% overprediction by the nomograph (2) importance of angular phasing between adjacent perforations, (3) untenability of generally accepted severe permeability impairment in the compacted zone, and (4) significant reduction in productivity due to non-Darcy effect around the perforation for high-rate wells.

Authors:
Publication Date:
Research Org.:
Flopetrol Johnson/Schlumberger
OSTI Identifier:
6640280
Report Number(s):
CONF-840495-
Journal ID: CODEN: SEAPA
Resource Type:
Conference
Resource Relation:
Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States); Journal Volume: SPE 12781; Conference: Society of Petroleum Engineers California regional meeting, Long Beach, CA, USA, 11 Apr 1984
Country of Publication:
United States
Language:
English
Subject:
02 PETROLEUM; 03 NATURAL GAS; NATURAL GAS WELLS; PERFORATION; OIL WELLS; RESERVOIR FLUIDS; FLOW MODELS; ACCURACY; FINITE ELEMENT METHOD; FORECASTING; FORMATION DAMAGE; HYDRAULICS; MESH GENERATION; NOMOGRAMS; NONLINEAR PROBLEMS; PERMEABILITY; RESERVOIR ENGINEERING; SENSITIVITY ANALYSIS; STEADY FLOW; WELL COMPLETION; DIAGRAMS; ENGINEERING; FLUID FLOW; FLUID MECHANICS; FLUIDS; MATHEMATICAL MODELS; MECHANICS; NUMERICAL SOLUTION; WELLS 020300* -- Petroleum-- Drilling & Production; 030300 -- Natural Gas-- Drilling, Production, & Processing

Citation Formats

Tariq, S.M. Evaluation of flow characteristics of perforations including nonlinear effects using finite-element method. United States: N. p., 1984. Web.
Tariq, S.M. Evaluation of flow characteristics of perforations including nonlinear effects using finite-element method. United States.
Tariq, S.M. 1984. "Evaluation of flow characteristics of perforations including nonlinear effects using finite-element method". United States. doi:.
@article{osti_6640280,
title = {Evaluation of flow characteristics of perforations including nonlinear effects using finite-element method},
author = {Tariq, S.M.},
abstractNote = {This study presents results of finite element modelling of steady-state flow in perforated natural completions. Use of a carefully chosen mesh based on grid sensitivity analysis permits evaluation of flow with more precision than achieved by previous investigators. Also, for the first time, evaluation of flow characterstics of perforated completion is made taking into account the non-Darcy effect due to converging flow around the perforation. The results indicate: (1) confirmation of Locke's findings qualitatively but 5-10% overprediction by the nomograph (2) importance of angular phasing between adjacent perforations, (3) untenability of generally accepted severe permeability impairment in the compacted zone, and (4) significant reduction in productivity due to non-Darcy effect around the perforation for high-rate wells.},
doi = {},
journal = {Soc. Pet. Eng. AIME, Pap.; (United States)},
number = ,
volume = SPE 12781,
place = {United States},
year = 1984,
month = 4
}

Conference:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save / Share:
  • This study presents results of finite-element modeling of steady-state flow in perforated natural completions. Use of a mesh chosen carefully by grid sensitivity analysis permits evaluation of flow with more precision than that achieved by previous investigators. Also, for the first time, flow characteristics of perforated completions are evaluated with the non-Darcy effect resulting form converging flow around the perforation taken into account. The results indicate confirmation of Locke's results qualitatively but 5 to 10% overprediction by the nomograph, the importance of angular phasing between adjacent perforations, the uncertainty in generally accepted severe permeability impairment in the compacted zone, andmore » a significant reduction in productivity owing to a non-Darcy effect around the perforation for high-rate gas wells.« less
  • The application is presented of a solution technique for the inverse problem that utilizes a finite element heat conduction model and Beck's nonlinear estimation procedure. The technique is applicable to the one-dimensional nonlinear model with temperature-dependent thermophysical properties. The formulation is applied first to a numerical example with a known solution. The example treated is that of a periodic heat flux imposed on the surface of a rod. The computed surface heat flux is compared with the imposed heat flux to evaluate the performance of the technique in solving the inverse problem. Finally, the technique is applied to an experimentallymore » determined temperature transient taken from an interior point of an electrically-heated composite rod. The results are compared with those obtained by applying a finite difference inverse technique to the same data.« less
  • The continuum modeling of the finite element method is used to study the fully nonlinear plastic failure of the transverse ring structure of a ship. By using this finite element discretization, the connecting portions of structural members can be treated as two-dimensional deformable bodies. This condition can contribute to stress concentration and continuum development of plastic zones, which can better represent local and global mechanics behavior and accurately predict the fully nonlinear plastic failure of the transverse ring structure. The incremental/iterative procedure is used to update the response histories of the related nonlinear finite element systems. An accelerated iteration method,more » proposed by the present author, based on improving a modified Newton-Raphson scheme is used to obtain converged solutions of the discretized nonlinear algebraic systems. In analyzing the transverse ring structure of a ship, the response history is updated close to a fully nonlinear plastic failure load stage. The mechanics behavior of the structural members is studied.« less
  • The nonlinear Poisson-Boltzmann (PB) equation is solved using Pseudo Transient Continuation. The PB solver is constructed by modifying the nonlinear diffusion module of a 3D, massively parallel, unstructured-grid, finite element, radiation-hydrodynamics code. The solver also computes the electrostatic energy and evaluates the force on a user-specified contour. Either Dirichlet or mixed boundary conditions are allowed. The latter specifies surface charges, approximates far-field conditions, or linearizes conditions ''regulating'' the surface charge. The code may be run in either Cartesian, cylindrical, or spherical coordinates. The potential and force due to a conical probe interacting with a flat plate is computed and themore » result compared with direct force measurements by chemical force microscopy.« less
  • A versatile numerical solution will be presented for simulating a compacting oil reservoir and its subsidence at the surface. The mathematical formulation was derived based on Biot`s self consistent theory which describes a fully coupled governing equation system for a saturated oil reservoir. It consists of the equilibrium and continuity equations for oil, gas and water-phases flowing in a porous media. The non-linearities due to mobility and accumulation terms were implicitly determined at each iteration level. These non-linear variables account for the effects of reservoir heterogeneity, relative permeability contrasts, rock and fluid compressibility factors, capillary pressure and other rock properties.more » An elastoplastic reservoir rock model, based on a Mohr Coulomb yield surface, was used for simulating the deformation behavior of both reservoir and overburden/underburden formations. The Galerkin based finite element method will be applied to obtain simultaneous solutions to the governing equation system where the displacement and the fluid pressures are the primary unknowns. Finally, several simulations are to be conducted for predicting the overall performance of a compacting oil reservoir and its subsidence problem at the surface.« less