Coherent ray tracing—measured and predicted shallow‐water frequency spectrum

1978 ◽  
Vol 63 (6) ◽  
pp. 1820-1823 ◽  
Author(s):  
J. Wakeley
Keyword(s):  
Shallow Water ◽  
Ray Tracing ◽  
Frequency Spectrum ◽  
Coherent Ray Tracing

A Theoretical and Empirical Analysis of Coherent Ray-Tracing

1985 ◽  
pp. 11-25 ◽  
Author(s):  
L. Richard Speer ◽  
Tony D. DeRose ◽  
Brian A. Barsky
Keyword(s):  
Ray Tracing ◽  
Empirical Analysis ◽  
Coherent Ray Tracing

Shallow Water Ray Tracing with Nonlinear Velocity Profiles

1972 ◽  
Vol 52 (3B) ◽  
pp. 1000-1010 ◽  
Author(s):  
N. L. Weinberg ◽  
T. Dunderdale
Keyword(s):  
Shallow Water ◽  
Ray Tracing ◽  
Velocity Profiles ◽  
Nonlinear Velocity

A comparison of finite element and hybrid ray-tracing propagation models for shallow water environments

2016 ◽  
Vol 140 (4) ◽  
pp. 3014-3014 ◽  
Author(s):  
Marcia J. Isakson ◽  
Jacob George ◽  
David Harvey
Keyword(s):  
Finite Element ◽  
Shallow Water ◽  
Ray Tracing ◽  
Propagation Models

Deep Coherent Ray Tracing

2007 ◽  
Author(s):  
Erik Mansson ◽  
Jacob Munkberg ◽  
Tomas Akenine-Moller
Keyword(s):  
Ray Tracing ◽  
Coherent Ray Tracing

The use of coherent ray tracing for physically accurate rendering

2008 ◽  
Vol 34 (5) ◽  
pp. 294-303 ◽  
Author(s):  
B. Kh. Barladyan ◽  
A. G. Voloboi ◽  
K. A. Vostryakov ◽  
V. A. Galaktionov ◽  
L. Z. Shapiro
Keyword(s):  
Ray Tracing ◽  
Coherent Ray Tracing

A ray method for near-shore plumes in a shallow-water flow

1991 ◽  
Vol 224 ◽  
pp. 227-239 ◽  
Author(s):  
Ronald Smith
Keyword(s):  
Shallow Water ◽  
Ray Tracing ◽  
Water Flow ◽  
Uniform Approximation ◽  
Contaminant Plume ◽  
Shallow Water Flow ◽  
Ray Method ◽  
Near Shore ◽  
Tracing Method ◽  
Ray Paths

Far from a shoreline, the spreading of a contaminant plume in a shallow-water flow can be predicted easily and accurately by a ray-tracing method. Unfortunately, the concentration predictions become singular at a beach, where the ray paths have a caustic. In this paper a uniform approximation is derived which remains valid at a beach. It is shown how the singular ray solutions corresponding to rays incident to and transmitted from the beach can be combined to construct the uniform approximation.

Interactive Rendering with Coherent Ray Tracing

2001 ◽  
Vol 20 (3) ◽  
pp. 153-165 ◽  
Author(s):  
Ingo Wald ◽  
Philipp Slusallek ◽  
Carsten Benthin ◽  
Markus Wagner
Keyword(s):  
Ray Tracing ◽  
Interactive Rendering ◽  
Coherent Ray Tracing

Deterministic-Spectral Fatigue Analysis of a Typical Jacket Platform (SPD1) Using Directional Wave Spectrum

2007 ◽  
Author(s):  
M. Azimirad ◽  
A. R. M. Gharabaghi ◽  
M. R. Chenaghlou
Keyword(s):  
Fatigue Life ◽  
Shallow Water ◽  
Spectral Method ◽  
Frequency Spectrum ◽  
Persian Gulf ◽  
Wave Spectrum ◽  
Fatigue Analysis ◽  
Sea Waves ◽  
Directional Wave ◽  
Random Nature

Fixed offshore platforms or Jacket type platforms are the most common offshore structures used for oil & gas Exploration & Production industry in Persian Gulf, because water depth is such that the shallow water condition is dominant. Sea waves as dominant environmental loading are cyclic and have random nature. The applied cyclic sea wave forces will lead to fatigue damages in jacket’s joints. There are different methods to investigate the fatigue life of jackets such as deterministic method, simplified method, spectral method and transient method. Spectral method is a suitable method, which can consider the random nature of sea waves in fatigue analysis. Deterministic-spectral method developed by Bishop et al. is used to estimate the fatigue life of shallow water jacket platforms. However, in this method the frequency spectrum of waves is used in the analysis, but generally sea waves are propagating in different directions with different frequencies, so directional wave spectrum can consider wave randomness more properly. In this paper, frequency domain spectral method using Deterministic-Spectral approach has been used to estimate the fatigue life of a typical jacket platform (SPD1 at South Pars Field - Persian Gulf). Base wave cases were chosen from joint histogram of height & period that is calculated based on scatter diagrams of South Pars Field. First the jacket was modeled by ANSYS software, then by applying base wave cases to it and analyzing the critical TT joint under internal cyclic forces, hot spot stress transfer functions at 8 nodes around the intersection of joint were obtained. Using JONSWAP standard spectrum and the spreading function proposed by Goda, sea state’s Power Spectral Densities (PSD) and directional spectrums are multiplied to obtain stress spectra. The fatigue damage and fatigue life then are calculated. Results indicate that the fatigue life based on frequency spectrum is less than the fatigue life based on directional spectrum.

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