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Showing 1 to 20 of 367 for “"Analytical solutions"”.
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Analytical Solutions for Hydraulic Fracture Diagnosis
This work presents old and new analytical solutions for hydraulic fracture diagnosis. The main body of this work is divided in two parts: Part I presents the main developments, theories and applications of pressure transient testing as a tool for hydraulic fracture diagnosis. Pressure transient …
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Analytical Solutions for Hydraulic Fracture Diagnosis
This work presents old and new analytical solutions for hydraulic fracture diagnosis. The main body of this work is divided in two parts: Part I presents the main developments, theories and applications of pressure transient testing as a tool for hydraulic fracture diagnosis. Pressure transient …
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Approximate analytical solutions for modeling subsurface flow
… and the Boussinesq equation, have no known exact analytical solutions. Approximate analytical solutions to these equations have been developed under linearizing simplifications. In the first part of the dissertation two commonly used linear methods of computation of groundwater flow are …
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Analytical Solutions of the SABR Stochastic Volatility Model
This thesis studies a mathematical problem that arises in modeling the prices of option contracts in an important part of global financial markets, the fixed income option market. Option contracts, among other derivatives, serve an important function of transferring and managing financial risks in …
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Analytical solutions for temperature profile prediction in multi-layered pavement systems
… temperature profiles, one-dimensional (1-D) analytical solutions for temperature profiles in multi-layered pavements have been derived using the method of separation of variables and the Laplace transforms. The derived theoretical solutions consider the pavement geometries, material thermal …
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Analytical Solutions for the Deformation of Anisotropic Elastic and Piezothermoelastic Laminated Plates
The Eshelby-Stroh formalism is used to analyze the generalized plane strain quasistatic deformations of an anisotropic, linear elastic laminated plate.The formulation admits any set of boundary conditions on the edges and long faces of the laminate. Each lamina may be generally anisotropic with as …
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Comparison of experimental results and analytical solutions for the deflections of anisotropic plates
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1991.
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Analytical solutions of pressure-production tests with permanent multisensors in oil gas and water zones
… between phases. The present work develops analytical pressure solutions for several cases, considering information from gauges at different fluid zones in the reservoir (Gas-cap, oil zone, and aquifer). The author presents approximations for both homogeneous and naturally fractured …
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Analytical solutions for the statics and dynamics of rectangular laminated composite plates using shearing deformation theories
The Levy-type analytical solutions in conjunction with the state-space concept are developed for symmetric laminated composite rectangular plates. Combinations of simply-supported, free and clamped boundary conditions are considered. The solutions are obtained for the first-order and higher-order …
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Analytical solutions of the steady or unsteady heat conduction equation in industrial devices: A comparison with FEM results
… is now commercially available in computer codes. Analytical solutions for the temperature field are also available under the assigned conditions such as Dirichlet, Neumann or Robin, if the thermal conductivity is constant and isotropic. In the cases where conductivity is anisotropic and strongly …
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Evaluation of analytical methods to interpret ground deformations due to soft ground tunneling
… was undertaken to evaluate the effectiveness of analytical solutions in describing ground movements induced by soft ground tunneling. The analytical solutions that were examined consider both isotropic and anisotropic stiffness parameters and were proposed by Pinto and Whittle (1999) and …
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Numerical and Analytical Analysis of Vortex Induced Vibrations of a Pipeline Close to Seabed
… to further understand the proposed model, the analytical solutions are obtained and analysed. To get the analytical solutions, the primary resonance is mainly investigated and the amplitude-frequency equations are derived, then the analytical solutions are compared with the numerical solutions …
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Vibration Analysis of a Fan/Compressor Blade
… finite element analysis together with various analytical approaches. First, the analytical solutions were established using various analytical methods, Bernoulli-Euler, Rayleigh, Rayleigh-Ritz, two-dimensional plate, and Timoshenko beam methods. Then, the vibration behaviors of the blade are …
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An experimental analysis of heat transfer in coiled tubes
… were found to be in agreement with recent analytical solutions. Even with large variations in fluid transport properties, the axial temperature distribution was essentially linear and therefore may be represented by previous analytical solutions. Initial measurement of convective dispersion …
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NONLINEAR DYNAMICS OF CABLE GALLOPING VIA A TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATOR
… via a two-degree-of-freedom oscillator. The analytical solutions of periodic motions for this two-degree-of-freedom system are represented by the finite Fourier series. The analytical bifurcation trees of periodic motions to chaos of a transmission line under both steady and unsteady flows …
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Poluição de águas subterrâneas: seleção de um modelo matemático de dispersão bidimensional
… methods to solve this set of equations, because analytical solutions are not available. However, some difficulties appear when numerical methods are applied to the mass transport equation: the numerical solution presents overshoot and numerical dispersion. In this work, several methods developed …
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Finite element analysis of anisotropic viscoelastic composite structures and analytical determination of optimum viscoelastic material properties
… and stretching of composite plates for which analytical solutions exist are examined in order to evaluate the accuracy and effectiveness of the present approach. The time dependent displacement fields in the transverse direction for the cross ply and angle ply laminates are calculated and the …
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