A Powerful Tool for Cored-Based Structural Analysis. Core CT Scanning

Total Page:16

File Type:pdf, Size:1020Kb

A Powerful Tool for Cored-Based Structural Analysis. Core CT Scanning AS3D goniometer : a powerful tool for cored-based structural analysis. Core CT Scanning: 3D imaging for a deeper formation evaluation. Presented by: Marco Azevedo & Mathilde Rousselle LPS, New Technology Seminar 2016 RIGHT SOLUTIONS | RIGHT PARTNER Contents A. AS3D Goniometer B. Core CT Scanning • Introduction • Introduction • • Work flow CT principles • Equipment • Applications • Applications • Final Considerations • Final Considerations C. Conclusions Introduction – Data types available This is the scale we work on! Geomechanical Well Data Core Data and Geometrical Seismic Data Data • Image logs; • Geometrical analysis of • Geomechanical • Pre-stack attributes; • Well test; fractures; modelling; • Post-stack attributes; • Production data; • Fracture density / • Spatial distribution of frequency; stress and strain: • Fracture porosity and • Reservoir geometry; permeability; Introduction – Why core-based structural analysis? Tectonic history and evoluiton of the reservoir >60% of the world reservoirs are fractured Understand fracture networking Fractures and poro-perm modelling Why do Undersampling structural analyis on core? Misinterpretation “Skewing” effect of the data Image-based analysis Low resolution alone is not reliable Resistivity dependent (some) Workflow – Before data acquisition Pump out Mark the Open the Clean the Check the the inner reference liner core connection barrel line Core fitting and marking the reference line are the most important stages All measurements will be based on the reference line Reliable fracture orientation Workflow – Data acquisition AS3D tool-system Workflow – AS3D The AS3D system is a computerized goniometric tool-system that helps the structural geologist by allowing: Geometrical Analysis Fast, efficient Qualitative Description and accurate -Depth; Quantitative Description fracture logging -Azimuth; -Typology/Nature of -Dip; structures; -Length; -Linear orientations. -Filling and mineralisation; -Aperture; -Planar shape; -Abutting; -Intersections; -Stylolite amplitude; -... -Filling percentage by typology; -... Workflow – AS3D The AS3D system is the most sophisticated and efficient geometrical measurement tool for study of cores in the market. Fully portable system composed by: 3D Digitiser, Stylus, A careful revision of core fitting and connection as well as Computer, Cylindrical Rollers and Table. drawing of the master orientation line are required in order to have the best structural data acquisition. Also capable of acquiring High precision three-dimensional digitization of all planar linear orientation along planar features, tectonic and sedimentary. features. 8 Workflow – AS3D The AS3D system holds an intuitive, flexible and editable software with several quality control mechanisms. Instant acquisition of all geometric Management module for geological features characteristics of geological planes. description. Immediate data storage with an Constant revision and quality integrated database. control of all acquired data 9 Workflow – Data Reorientation • Acquired data is plotted on stereonets for each reference line. 1st Step • Stereonets are reprocessed to find the most coherent geometric orientation of the structures 2nd Step within all core. • Reorientation to the true geographic position, using 3rd Step well deviation info or BHI data. Example: deviated well drilled in a subhorizontal sedimentary sequence. Layers should be visible on the core (in red on the Workflow Core Borehole drawing). Apparent dip in Vertical position Well azimuth (a) and inclination (d) should also be known. h Schematic process of reorientation h ic Reference planes h w u t e im l a n z o f p a ” a l h e e ic s t si d l rt in h o d Ve t a ig to n “ h g – o i n c h e n t f t i e o o r e th Data Reorientation inclination 2nd step: correction from the angle of the deviation. BROKEN ZONE Reference layers return to horizontal position 1st step: rotation around the core axis . 3rd step: correction from the azimuth and the angle of the Well. Aspect of the core taken from the deviated well. Aspect of the core in real position. These operation give then the true orintation of all tectonic and sedimentary structures on the cores. Workflow – Data Reorientation Reorientation using BHI data Interpreted logging data in real position 55 data Raw cores data, reference line is not the true North Reorientation Final cores data in real position to North Workflow – Graphical Outputs 13 Workflow – Graphical Outputs Composite logs Our data Applications – Core Data – Image Data Integration Integration between core data and image data is made using detailed photos and graphical outputs. IMAGE LOG CORE Applications – Structural Geology Interpretation Schematic structural geology sections with integration of core data into geological maps and study of the main stages of deformation can be done. Applications – Statistical Analysis Statistical analysis between all data acquired from core with the AS3D tool- system. 100 Bedding 80 Stratification joint 60 disconformity 40 Strati glidding Fault 20 Partially open fracture 0 Cemented fracture 8 9 10 11 12 13 14 15 Core number Applications – True frequency vs Density Frac /m Frac/m Frac/m 0 10 20 30 40 50 60 0 10 20 30 40 50 60 0 10 20 30 40 50 60 2534 2534 2534 2535 2535 2535 Family 1: N120 Family 2: N05 Family 3: N70 2536 2536 2536 2 2 2 e e e r 2537 r 2537 r 2537 o o o C 2538 C 2538 C 2538 2539 2539 2539 2540 2540 2540 3892 3892 3892 3 3 3 e e 3893 e 3893 3893 r r r o o o C C 3894 C 3894 3894 3895 3895 3895 4 4 4 e e e 3896 r 3896 r 3896 r o o o C C C 3897 3897 3897 3940 3940 3940 3941 3941 3941 3942 3942 3942 3943 3943 3943 3944 Fractures measured : 64 3944 Fractures measured : 16 3944 Fractures measured : 25 Fractures calculated : 285.1 Fractures calculated : 61.6 Fractures calculated : 95.2 3945 3945 3945 5 5 5 3946 3946 3946 e e e r r r o o 3947 o 3947 3947 C C C 3948 3948 3948 3949 3949 3949 3950 3950 3950 3951 3951 3951 3952 3952 3952 4005 4005 4005 4006 4006 4006 N49 4007 4007 4007 6 6 4008 6 4008 4008 e e e N124 r r r o o 4009 o 4009 4009 C C C 4010 4010 4010 N174 4011 4011 4011 Strike rose diagram of Open 4012 4012 and Partially open fractures. 4012 4013 4013 4013 Fracture frequency (calculated) Fracture density (measured) Applications – Porosity-Permeability Modelling Porosity in % Permeability K in millidarcy Permeability vectors (K1 and K3) orientation can be modelled in order to calculate the optimal drilling direction in case of injector (K1) or producer (K3) wells. % porosity K1 K2 K3 Applications – Maximum Horizontal Stress Based on geometric information of induced fractures it is possible to calculate the actual maximum horizontal stress. Strata Pax Core Bit Core e a d b c Vertical Stress Array Core Cut Line A schematic illustration of bit-induced stress stray array below core, modified from Jaeger & Cook, 1979 (After Lorenz and Finley, 1979) Final considerations The AS3D tool-system allows: • Reliable orientation of tectonic & sedimentary structures with real time outputs; • Characterisation of natural fracture connectivity by utilising information on fracture orientation, fracture size and fracture density; • Determination of the in-situ horizontal stress and relation between induced and natural fractures; • Comprehensive study of deformation mechanisms and evolution; • Fracture porosity and permeability estimation; • Prediction of optimal drilling direction in order to maximise production/injection performance; Introduction – CT imaging • Non destructive • Mineral phases – Fluid - Air mapping • CT scanning in geosciences since mid-80’ • Extensive research and advanced techniques: – Micro and nano-CT – Image reconstruction – Image processing and analysis: from a visual tool to a quantitative tool – Dual energy analysis Larger range of applications for deeper formation evaluation Geology, Petrophysics, Enhanced Recovery process Contents • CT principles – X-ray attenuation; – Image reconstruction; – Density mapping • Equipment – Helical Aquilion CX 64 slices – High resolution – 3D slices • Applications – Core, preserve, plug visualisation; – QA, QC, sample selection, slabbing; – Structural geology, Petrophysics, correlation with BHI • Structural analysis: CT scan vs. BHI vs. Core based analysis • Conclusion 23 1. CT principles – Computed Tomography CT scanning = multiple angles X-radiography X-ray beam cone 64 detectors Attenuation dependant of material densities and X-rays energy • Denser material = Stronger attenuation • X-ray attenuation by photoelectric absorption (50-100KeV) by Compton scattering (>100KeV) 24 1. CT principles – Image reconstruction Raw Data = X-ray beam intensity I Reconstruction Processed Data = images mapping the CT densities on each element of volume i µi, µw: linear attenuation coefficients of material i, water [H, Hounsfield unit] 2D-3D slices 25 2. Equipment ALS is the only Oil & Gas UK Lab with in-house Helical CT scanner - Aquilion™ 64 Toshiba • High energy & intensity X-ray (250mA -135kV) for better resolution/contrast • Cone beam = 3D images • 64 X-ray detectors = high speed scan, 1 slice/0.5mm • Large range of sample sizes Diameter: 1” plug to 5.25” core in liner Max. length: 1.20m Non destructive and fast technique for density mapping High quality 3D CT images 2. Equipment - Output Aquilion 64: high quality 3D images • 3D images - 1 slice every 0.5mm • High Resolution • Good quality in contrast of density • Different reconstructed images available spatial resolution vs. contrast vs. artefact/noise correction 3- Applications –
Recommended publications
  • 3 Concepts of Stress Analysis
    FEA Concepts: SW Simulation Overview J.E. Akin 3 Concepts of Stress Analysis 3.1 Introduction Here the concepts of stress analysis will be stated in a finite element context. That means that the primary unknown will be the (generalized) displacements. All other items of interest will mainly depend on the gradient of the displacements and therefore will be less accurate than the displacements. Stress analysis covers several common special cases to be mentioned later. Here only two formulations will be considered initially. They are the solid continuum form and the shell form. Both are offered in SW Simulation. They differ in that the continuum form utilizes only displacement vectors, while the shell form utilizes displacement vectors and infinitesimal rotation vectors at the element nodes. As illustrated in Figure 3‐1, the solid elements have three translational degrees of freedom (DOF) as nodal unknowns, for a total of 12 or 30 DOF. The shell elements have three translational degrees of freedom as well as three rotational degrees of freedom, for a total of 18 or 36 DOF. The difference in DOF types means that moments or couples can only be applied directly to shell models. Solid elements require that couples be indirectly applied by specifying a pair of equivalent pressure distributions, or an equivalent pair of equal and opposite forces at two nodes on the body. Shell node Solid node Figure 3‐1 Nodal degrees of freedom for frames and shells; solids and trusses Stress transfer takes place within, and on, the boundaries of a solid body. The displacement vector, u, at any point in the continuum body has the units of meters [m], and its components are the primary unknowns.
    [Show full text]
  • Structural Analysis
    Module 1 Energy Methods in Structural Analysis Version 2 CE IIT, Kharagpur Lesson 1 General Introduction Version 2 CE IIT, Kharagpur Instructional Objectives After reading this chapter the student will be able to 1. Differentiate between various structural forms such as beams, plane truss, space truss, plane frame, space frame, arches, cables, plates and shells. 2. State and use conditions of static equilibrium. 3. Calculate the degree of static and kinematic indeterminacy of a given structure such as beams, truss and frames. 4. Differentiate between stable and unstable structure. 5. Define flexibility and stiffness coefficients. 6. Write force-displacement relations for simple structure. 1.1 Introduction Structural analysis and design is a very old art and is known to human beings since early civilizations. The Pyramids constructed by Egyptians around 2000 B.C. stands today as the testimony to the skills of master builders of that civilization. Many early civilizations produced great builders, skilled craftsmen who constructed magnificent buildings such as the Parthenon at Athens (2500 years old), the great Stupa at Sanchi (2000 years old), Taj Mahal (350 years old), Eiffel Tower (120 years old) and many more buildings around the world. These monuments tell us about the great feats accomplished by these craftsmen in analysis, design and construction of large structures. Today we see around us countless houses, bridges, fly-overs, high-rise buildings and spacious shopping malls. Planning, analysis and construction of these buildings is a science by itself. The main purpose of any structure is to support the loads coming on it by properly transferring them to the foundation.
    [Show full text]
  • Module Code CE7S02 Module Name Advanced Structural Analysis ECTS
    Module Code CE7S02 Module Name Advanced Structural Analysis 1 ECTS Weighting 5 ECTS Semester taught Semester 1 Module Coordinator/s Module Coordinator: Assoc. Prof. Dermot O’Dwyer ([email protected]) Module Learning Outcomes with reference On successful completion of this module, students should be able to: to the Graduate Attributes and how they are developed in discipline LO1. Identify the appropriate differential equations and boundary conditions for analysing a range of structural analysis and solid mechanics problems. LO2. Implement the finite difference method to solve a range of continuum problems. LO3. Implement a basic beam-element finite element analysis. LO4. Implement a basic variational-based finite element analysis. LO5. Implement time-stepping algorithms and modal analysis algorithms to analyse structural dynamics problems. L06. Detail the assumptions and limitations underlying their analyses and quantify the errors/check for convergence. Graduate Attributes: levels of attainment To act responsibly - ho ose an item. To think independently - hoo se an item. To develop continuously - hoo se an it em. To communicate effectively - hoo se an item. Module Content The Advanced Structural Analysis Module can be taken as a Level 9 course in a single year for 5 credits or as a Level 10 courses over two years for the total of 10 credits. The first year of the module is common to all students, in the second year Level 10 students who have completed the first year of the module will lead the work groups. The course will run throughout the first semester. The aim of the course is to develop the ability of postgraduate Engineering students to develop and implement non-trivial analysis and modelling algorithms.
    [Show full text]
  • “Linear Buckling” Analysis Branch
    Appendix A Eigenvalue Buckling Analysis 16.0 Release Introduction to ANSYS Mechanical 1 © 2015 ANSYS, Inc. February 27, 2015 Chapter Overview In this Appendix, performing an eigenvalue buckling analysis in Mechanical will be covered. Mechanical enables you to link the Eigenvalue Buckling analysis to a nonlinear Static Structural analysis that can include all types of nonlinearities. This will not be covered in this section. We will focused on Linear buckling. Contents: A. Background On Buckling B. Buckling Analysis Procedure C. Workshop AppA-1 2 © 2015 ANSYS, Inc. February 27, 2015 A. Background on Buckling Many structures require an evaluation of their structural stability. Thin columns, compression members, and vacuum tanks are all examples of structures where stability considerations are important. At the onset of instability (buckling) a structure will have a very large change in displacement {x} under essentially no change in the load (beyond a small load perturbation). F F Stable Unstable 3 © 2015 ANSYS, Inc. February 27, 2015 … Background on Buckling Eigenvalue or linear buckling analysis predicts the theoretical buckling strength of an ideal linear elastic structure. This method corresponds to the textbook approach of linear elastic buckling analysis. • The eigenvalue buckling solution of a Euler column will match the classical Euler solution. Imperfections and nonlinear behaviors prevent most real world structures from achieving their theoretical elastic buckling strength. Linear buckling generally yields unconservative results
    [Show full text]
  • Structural Analysis (Statics & Mechanics)
    APPLIED ARCHITECTURAL STRUCTURES: STRUCTURAL ANALYSIS AND SYSTEMS Structural Requirements ARCH 631 • serviceability DR. ANNE NICHOLS FALL 2013 – strength – deflections lecture two • efficiency – economy of materials • construction structural analysis • cost (statics & mechanics) • other www.pbs.org/wgbh/buildingbig/ Analysis 1 Applied Architectural Structures F2009abn Analysis 2 Architectural Structures III F2009abn Lecture 2 ARCH 631 Lecture 2 ARCH 631 Structure Requirements Structure Requirements • strength & • stability & equilibrium stiffness – safety – stability of – stresses components not greater – minimum than deflection and strength vibration – adequate – adequate foundation foundation Analysis 3 Architectural Structures III F2008abn Analysis 4 Architectural Structures III F2008abn Lecture 2 ARCH 631 Lecture 2 ARCH 631 1 Structure Requirements Relation to Architecture • economy and “The geometry and arrangement of the construction load-bearing members, the use of – minimum material materials, and the crafting of joints all represent opportunities for buildings to – standard sized express themselves. The best members buildings are not designed by – simple connections architects who after resolving the and details formal and spatial issues, simply ask – maintenance the structural engineer to make sure it – fabrication/ erection doesn’t fall down.” - Onouy & Kane Analysis 5 Architectural Structures III F2008abn Analysis 6 Architectural Structures III F2008abn Lecture 2 ARCH 631 Lecture 2 ARCH 631 Structural Loads - STATIC Structural
    [Show full text]
  • Simulating Sliding Wear with Finite Element Method
    Tribology International 32 (1999) 71–81 www.elsevier.com/locate/triboint Simulating sliding wear with finite element method Priit Po˜dra a,*,So¨ren Andersson b a Department of Machine Science, Tallinn Technical University, TTU, Ehitajate tee 5, 19086 Tallinn, Estonia b Machine Elements, Department of Machine Design, Royal Institute of Technology, KTH, S-100 44 Stockholm, Sweden Received 5 September 1997; received in revised form 18 January 1999; accepted 25 March 1999 Abstract Wear of components is often a critical factor influencing the product service life. Wear prediction is therefore an important part of engineering. The wear simulation approach with commercial finite element (FE) software ANSYS is presented in this paper. A modelling and simulation procedure is proposed and used with the linear wear law and the Euler integration scheme. Good care, however, must be taken to assure model validity and numerical solution convergence. A spherical pin-on-disc unlubricated steel contact was analysed both experimentally and with FEM, and the Lim and Ashby wear map was used to identify the wear mech- anism. It was shown that the FEA wear simulation results of a given geometry and loading can be treated on the basis of wear coefficientϪsliding distance change equivalence. The finite element software ANSYS is well suited for the solving of contact problems as well as the wear simulation. The actual scatter of the wear coefficient being within the limits of ±40–60% led to considerable deviation of wear simulation results. These results must therefore be evaluated on a relative scale to compare different design options. 1999 Elsevier Science Ltd.
    [Show full text]
  • Structural Analysis and Design, University of Houston-Downtown
    Session 3615 STRUCTURAL ANALYSIS DESIGN: A DISTINCTIVE ENGINEERING TECHNOLOGY PROGRAM Alberto Gomez-Rivas, and George Pincus Professors of Structural Analysis and Design, University of Houston-Downtown Abstract Graduates of the Structural Analysis and Design Engineering Technology program, University of Houston-Downtown, are successful in reaching responsible positions in industry and government. The strong emphasis on computer technology provides an advantage to graduates of the program because they are highly productive. The Structural Analysis Design (SAD) Engineering Technology program, University of Houston-Downtown, is focused on the design of bridges, buildings, towers, offshore platforms and other structures. It is not traditional civil engineering but includes all aspects of structural design, including soil mechanics, foundation design, and construction surveying by GIS-GPS. Students take an intensive course in applications of computers, a visualization course, and two courses in computer-aided design, followed by a course in 3-D modeling including the most common CADD software packages: MicroStation, AutoCAD, and 3D Studio. Structural Analysis deals with application of finite element theory to beams and frames. A second course, Finite Element Analysis, utilizes ANSYS and ROBOT. Since the program focuses on structural analysis and design, students are exposed to several techniques and practices that are taught in schools of civil engineering at the graduate level. Examples include instruction on finite element analysis and use of structural software packages used in industry. Structural Analysis Design – Program Description This program covers the design of structures, bridges, buildings, towers, and offshore platforms and in general what is called civil structures. However, the program is not civil engineering because that field is considered broader.
    [Show full text]
  • Mechanical Properties and Structural Analysis of Coatings and Engineered Surfaces
    coatings Editorial Mechanical Properties and Structural Analysis of Coatings and Engineered Surfaces Mattia Merlin * and Annalisa Fortini * Department of Engineering (DE), University of Ferrara, Via Saragat 1, 44122 Ferrara, Italy * Correspondence: [email protected] (M.M.); [email protected] (A.F.) 1. Introduction and Scope The performance improvement in engineering components during operation is a challenging issue and surface engineering methods have been attracting considerable interest in both research and industrial fields. Surface characteristics have a pivotal role in enhancing the life of products since they control the mechanical, electrical, thermal, and electronic properties. Nevertheless, the surface and near-surface properties are cru- cial in failure mechanisms since the loss of performance and failures mostly begin from the surface. In this framework, this Special Issue includes original research papers and a review that covers the latest development in methods for enhancing the life and functionality of engineering components by tuning the physical, chemical, mechanical, and metallur- gical properties of their surfaces. Attention is focused on processing and characterizing methods capable of supporting industrial applications and products to both tackle surface degradation and improve the performance and reliability of components. 2. Contributions Citation: Merlin, M.; Fortini, A. The book collects manuscripts from cutting-edge academic researchers and consists of Mechanical Properties and Structural one review paper regarding the characteristics and mechanical properties of high-velocity Analysis of Coatings and Engineered oxy-fuel (HVOF) cermet coatings [1] and four research papers focused on the effects of Surfaces. Coatings 2021, 11, 875. different treatments and coatings on the mechanical and microstructural properties of the https://doi.org/10.3390/coatings investigated material [2–4].
    [Show full text]
  • Toward a More Comprehensive Approach for Design Using Buckling Analysis
    Proceedings of the Annual Stability Conference Structural Stability Research Council Nashville, Tennessee, March 24-27, 2015 Toward A More Comprehensive Approach for Design Using Buckling Analysis Oğuzhan Toğay1, Woo Yong Jeong2, Cliff D. Bishop3, Donald W. White4 Abstract This paper discusses a comprehensive approach for the design checking of structural steel members and their bracing systems via the use of buckling analysis combined with appropriate column or beam stiffness reduction factors. The stiffness reduction factors are derived from the AISC column and lateral torsional buckling strength curves. The resulting analysis provides a direct check of the member design resistance without the need for separate checking of the underlying Specification limit state equations. In addition, it can be used to directly evaluate stability bracing stiffness requirements. The paper presents the stiffness reduction factor equations for both columns and beams, and explains how these factors can be incorporated into a buckling analysis calculation. The paper closes with a representative beam design example. 1. Introduction Within the context of the Effective Length Method of design (the ELM), engineers have often calculated inelastic buckling effective length (K) factors to achieve a more accurate and economical design of columns. This process involves the determination of a stiffness reduction factor, , which captures the loss of rigidity of the column due to the spread of plasticity, including initial residual stress effects, as a function of the magnitude of the column axial force. Several different tau factor equations are in use in practice, but there is only one that fully captures the implicit inelastic stiffness reduction associated with the AISC column curve.
    [Show full text]
  • Chapter 10 Force Method
    18/02/2019 Chapter 10 Force Method Analysis of Statically Indeterminate Structures Iqbal Marie 2018-2019 Structural Analysis- Text Book by: R. C. HIBBELER 1 18/02/2019 Structures Determinate Indeterminate Serious effect No effect due due settlement settlement No effect due to Serious effect due to Rise in rise in temperature temperature Not economical economical Deflection Deflection Formation of plastic hinges Formation of results unstable plastic hinges structure results stable structure https://www.youtube.com/watch?v=Ff0GsQpw0.Xc 2 18/02/2019 There are two different Methods of analysis Force method • known as consistent deformation, unit load method, flexibility method • The primary unknowns are forces Displacement method • Known as stiffness method • The primary unknowns are displacements The deflection or slope at any point on a structure as a result of a number of forces, including the reactions, is equal to the algebraic sum of the deflections or slopes at this particular point as a result of these loads acting individually 3 18/02/2019 10.1 – 10-3 Force Method of Analysis: Beams 10.2 Analysis Procedure Indeterminate to the first degree ( 4 unknowns) • Three equilibrium equations and one compatibility equation is needed • Choosing one of the support reaction as a redundant (say By) • The structure become statically determinate and stable ( primary structure) • Calculate Downward displacement B at B (load action) • Apply unit load at B and calculate BB (upward deflection )- correction structure BB • Apply the Compatibility equation:
    [Show full text]
  • Analysis of Statically Indeterminate Structures by Matrix Force Method
    Module 2 Analysis of Statically Indeterminate Structures by the Matrix Force Method Version 2 CE IIT, Kharagpur Lesson 7 The Force Method of Analysis: An Introduction Version 2 CE IIT, Kharagpur Since twentieth century, indeterminate structures are being widely used for its obvious merits. It may be recalled that, in the case of indeterminate structures either the reactions or the internal forces cannot be determined from equations of statics alone. In such structures, the number of reactions or the number of internal forces exceeds the number of static equilibrium equations. In addition to equilibrium equations, compatibility equations are used to evaluate the unknown reactions and internal forces in statically indeterminate structure. In the analysis of indeterminate structure it is necessary to satisfy the equilibrium equations (implying that the structure is in equilibrium) compatibility equations (requirement if for assuring the continuity of the structure without any breaks) and force displacement equations (the way in which displacement are related to forces). We have two distinct method of analysis for statically indeterminate structure depending upon how the above equations are satisfied: 1. Force method of analysis (also known as flexibility method of analysis, method of consistent deformation, flexibility matrix method) 2. Displacement method of analysis (also known as stiffness matrix method). In the force method of analysis, primary unknown are forces. In this method compatibility equations are written for displacement and rotations (which are calculated by force displacement equations). Solving these equations, redundant forces are calculated. Once the redundant forces are calculated, the remaining reactions are evaluated by equations of equilibrium. In the displacement method of analysis, the primary unknowns are the displacements.
    [Show full text]
  • Finite Element Analysis of Pin-On-Disc Tribology Test
    International Journal of Science and Research (IJSR) ISSN (Online): 2319-7064 Index Copernicus Value (2013): 6.14 | Impact Factor (2013): 4.438 Finite Element Analysis of Pin-on-Disc Tribology Test Sumit Khot1, Utpal Borah2 Manipal Institute of Technology Manipal-576104,Karnataka India Scientific Officer-F, Metal Forming & Tribology Programme, Materials Technology Division, IGCAR, Kalpakkam-603102, Tamilnadu, India Abstract: The main objective of this work was to evaluate the state of stress and strain in Pin-on-Disc (POD) tribology test setup with of 316LN austenitic stainless steel as the tribo elements under self-mated conditions using finite element method (FEM). Type 316LN stainless steel is a major core and structural material in the Prototype Fast Breeder Reactor (PFBR. In PFBR there are many in-core and out-of-core component involving contact pairs of 316LN stainless steel and undergoing sliding wear during operation as well as maintenance. Estimation of wear during operation of the machine would lead to developing appropriate wear mitigation approaches. However, measurement of in-situ wear in machine components is very difficult, if not impossible. Finite element method (FEM) based numerical modeling of machine operation with appropriate wear models would enable estimation of wear a-priori. As accuracy of calculated wear values strongly depends on the state of stress and strain in the components, accurate modelling of the state of stress and strain is essential. Keywords: FEA, Tribology, ABAQUS, Pin-On-Disc, WEAR, state of stress, state of strain, Elastoplastic Analysis. 1. Introduction 2. Objective of this Work Type 316LN stainless steel is a major core and structural The primary aim of this work is to evaluate the state of stress material in the Prototype Fast Breeder Reactor (PFBR) and strains and its evolution with the sliding cycles for the designed by Indira Gandhi Center for Atomic Research case of 316LN Stainless Steel in the form of a rounded pin in (IGCAR), Kalpakkam.
    [Show full text]