Improved XFEM—An extra-dof free, well-conditioning, and interpolating XFEM

2015 ◽  
Vol 285 ◽  
pp. 639-658 ◽  
Author(s):  
Rong Tian ◽  
Longfei Wen
Keyword(s):  
Author(s):  
Mojtaba Fardi ◽  
Yasir Khan

The main aim of this paper is to propose a kernel-based method for solving the problem of squeezing Cu–Water nanofluid flow between parallel disks. Our method is based on Gaussian Hilbert–Schmidt SVD (HS-SVD), which gives an alternate basis for the data-dependent subspace of “native” Hilbert space without ever forming kernel matrix. The well-conditioning linear system is one of the critical advantages of using the alternate basis obtained from HS-SVD. Numerical simulations are performed to illustrate the efficiency and applicability of the proposed method in the sense of accuracy. Numerical results obtained by the proposed method are assessed by comparing available results in references. The results demonstrate that the proposed method can be recommended as a good option to study the squeezing nanofluid flow in engineering problems.


2010 ◽  
Author(s):  
Ivan Vela ◽  
Roberto Almeida ◽  
Francisco Porturas ◽  
Olivier Humbert

2007 ◽  
Vol 10 (06) ◽  
pp. 589-596 ◽  
Author(s):  
Johannes Bon ◽  
Hemanta Kumar Sarma ◽  
Jose Teofilo Rodrigues ◽  
Jan Gerardus Bon

Summary Pressure/volume/temperature (PVT) fluid properties are an integral part of determining the ultimate oil recovery and characterization of a reservoir, and are a vital tool in our attempts to enhance the reservoir's productive capability. However, as the experimental procedures to obtain these are time consuming and expensive, they are often based on analyses of a few reservoir-fluid samples, which are then applied to the entire reservoir. Therefore, it is of utmost importance to ensure that representative samples are taken, as they are fundamental to the reliability and accuracy of a study. Critical to the successful sampling of a reservoir fluid is the correct employment of sampling procedures and well conditioning before and during sampling. There are two general methods of sampling—surface and subsurface sampling. However, within these, there exist different methods that can be more applicable to a particular type of reservoir fluid than to another. In addition, well conditioning can differ depending on the type of reservoir fluid. Sampling methods for each reservoir type will be discussed with an emphasis on scenarios where difficulties arise, such as near-critical reservoir fluids and saturated reservoirs. Methods, including single-phase sampling and isokinetic sampling, which have been used increasingly in the last decade, will also be discussed with some detail, as will preservation of the representatives of other components in the sample including asphaltenes, mercury, and sulfur compounds. The paper presents a discussion aimed at better understanding the methods available, concepts behind the methods, well conditioning, and problems involved in obtaining representative fluid samples. Introduction Reservoir-fluid samples are obtained for a number of reasons, includingPVT analysis for subsequent engineering calculationsDetermination of the components that exist in a particular reservoir to have an understanding of the economic value of the fluidKnowledge of the contents of certain components that exist in the reservoir fluid for further planning and future drilling programs, such as the content of sulfur compounds and carbon dioxide, and the corrosiveness of the fluid. This will have an impact on the material used for casing, tubing, and surface equipment that may be necessaryKnowledge of the fluid's ability to flow through production tubing, pipelines, and other flow lines, and possible problems that may arise because of viscosity changes because of precipitation of solids such as wax and/or of asphalteneDetermining the contaminating components that affect plant design, such as the mercury content, sulfur components, and radioactive componentsIf the saturation pressure is approximately equal to the reservoir pressure then a second phase may be present. This is particularly relevant for gas reservoirs, where further drilling may discover an oil or condensate leg. Mostly the samples are required to obtain a better knowledge of a combination of these effects; however, it must be kept in mind that often the sample is not required to resolve all of these issues.


2021 ◽  
Author(s):  
Mehdi Valiyev ◽  
Hajagha Mammadov ◽  
Pedro Correa ◽  
Richard Reid

Abstract A deviated newly drilled gas well in Western Caspian Sea in Azerbaijan, with a flowing water reservoir pressure of 17,500-psi and a flowing gas reservoir pressure of 12,200-psi was unable to regain flow after an unsuccessful attempt to bullhead produced water back into the well. During the bullheading operation, there was a peak registered pumping pressure of 12,933-psi without admission of fluid into formation. Producing interval was 5880mTVD with a MASP of 9,700-psi for gas reservoir. Coiled Tubing was the most viable option to identify the problem, to solve it and to regain access to the lower completion and then proceed with interval abandonment program. This being an unconventional well in multiple aspects, presented serious challenges accentuated in Safety, Well Integrity Control, Obstruction Removal, and Well Conditioning Plan Forward. Integrity of completion was believed to be compromised by the high pumping pressures applied during bullheading and a confirmed communication between production tubing and "A annulus". After performing 2 rig site visits, an action plan was issued to adjust the platform for a Coiled Tubing intervention for the first time. Points to be developed in the plan were HSE, Structural Analysis and modifications required for proper equipment accommodation. For well integrity control, it was imperative to evaluate the potential scenarios which could have led to the problematic well status. Completion history and specifications were reviewed to assure each of the potential operating scenarios could be controlled without compromising well integrity. On obstruction removal, simulation software was used to design procedure with optimum string, chemicals, rates and fluids to be used for the operation and which contingency fluids considered to be available offshore. It is challenging to perform effective cleanouts in completions with 2 different sizes of tubings (IDs 3.74" & 2.2") combined with restrictions (1.92" nipple), the success is a function of overcoming limited fluid pumping rates, slow annular velocities, particle sizes, cleaning speeds, among others. Well conditioning for future completion operations was planned depending on successful achievements of the coiled tubing intervention. A total of 14 runs with coiled tubing using different BHA configurations were performed to complete the scope. Well was safely and successfully cleaned from a starting depth of 2,512mMD to a target depth of 5,864mMD (5,610mTVD) by removing mud deposits, consolidated sand bridges and completion restrictions. Throughout the cleanout operation, best practices discussed on planning stage were applied to remove multiple obstructions encountered and dealing with potential corkscrewed casing. By accomplishing the well delivery, it is evident that the methodology followed during the planning stage and execution, was crucial to save the well from being lost or abandoned. There was an uncertainty whether the completion integrity was compromised by the high pressures used during the bullheading operation. Novelty in this intervention was the methodology for the risk assessment for an unconventional live well intervention with a 17,500-psi BHP, unseen pressure in the region. Thorough structural analysis was performed to assure the coiled tubing equipment could be placed safely on the platform to condition the well to regain production


2016 ◽  
Vol 33 (02) ◽  
pp. 1650008 ◽  
Author(s):  
Saman Babaie-Kafaki ◽  
Reza Ghanbari

Symmetrizing the Dai–Liao (DL) search direction matrix by a rank-one modification, we propose a one-parameter class of nonlinear conjugate gradient (CG) methods which includes the memoryless Broyden–Fletcher–Goldfarb–Shanno (MLBFGS) quasi-Newton updating formula. Then, conducting an eigenvalue analysis, we suggest two choices for the parameter of the proposed class of CG methods which simultaneously guarantee the descent property and well-conditioning of the search direction matrix. A global convergence analysis is made for uniformly convex objective functions. Computational experiments are done on a set of unconstrained optimization test problems of the CUTEr collection. Results of numerical comparisons made by the Dolan–Moré performance profile show that proper choices for the mentioned parameter may lead to promising computational performances.


2011 ◽  
Vol 121-126 ◽  
pp. 2779-2783 ◽  
Author(s):  
Tao Chen ◽  
Rong Mo ◽  
Zhong Wei Gong

Isogeometric Analysis combines the NURBS technology and finite element approaches into a unified framework. Regrettably, the NURBS basis functions don’t interpolate at the control points, which lead to the difficulty for imposing the essential boundary conditions. A new approach inspired by Nitsche’s notion was proposed in order to remedy this issue. The essential boundary constraints are enforced by the consistent penalty terms. It has some notable advantages than the other methods, such as (i) the symmetric and positive definite bilinear formulation when the stiffness matrix is symmetric and the stabilization parameter is large enough; (ii) the well-conditioning coefficient matrix of the linear system. Finally, the numerical experiment was performed to verify the optimal rate of convergence of the present method.


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