Results 1 to 10 of about 100,503 (296)
Spherical One-Way Wave Equation [PDF]
Acoustics, 2021 The coordinate-free one-way wave equation is transferred in spherical coordinates. Therefore it is necessary to achieve consistency between gradient, divergence and Laplace operators and to establish, beside the conventional radial Nabla operator ∂Φ/∂r ...
Oskar Bschorr, Hans-Joachim Raida
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One-Way Wave Equation Derived from Impedance Theorem [PDF]
Acoustics, 2020 The wave equations for longitudinal and transverse waves being used in seismic calculations are based on the classical force/moment balance. Mathematically, these equations are 2nd order partial differential equations (PDE) and contain two solutions with
Oskar Bschorr, Hans-Joachim Raida
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Factorized One-Way Wave Equations [PDF]
Acoustics, 2021 The method used to factorize the longitudinal wave equation has been known for many decades. Using this knowledge, the classical 2nd-order partial differential Equation (PDE) established by Cauchy has been split into two 1st-order PDEs, in alignment with
Oskar Bschorr, Hans-Joachim Raida
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Discovery of the exact 3D one-way wave equation [PDF]
Nature CommunicationsThe standard wave equation describing symmetrical wave propagation in all directions in three dimensions, was discovered by the French scientist d’Alembert, more than 250 years ago. In the 20th century it became important to search for ‘one-way’ versions
Kosmas L. Tsakmakidis +1 more
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The One-Way Wave Equation: A Full-Waveform Tool for Modeling Seismic Body Wave Phenomena [PDF]
Surveys in Geophysics, 2013 The study of seismic body waves is an integral aspect in global, exploration and engineering scale seismology, where the forward modeling of waves is an essential component in seismic interpretation. Forward modeling represents the kernel of both migration and inversion algorithms as the Green’s function for wavefield propagation and is also an ...
Doug Angus
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Acoustics, 2022 The second-order partial differential wave Equation (Cauchy’s first equation of motion), derived from Newton’s force equilibrium, describes a standing wave field consisting of two waves propagating in opposite directions, and is, therefore, a “two-way ...
Hans-Joachim Raida
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A three-dimensional Laguerre one-way wave equation solver [PDF]
Applied Numerical Mathematics, 2022 A finite difference algorithm based on the integral Laguerre transform in time for solving a three-dimensional one-way wave equation is proposed. This allows achieving high accuracy of calculation results. In contrast to the Fourier method, the approach does not need to solve systems of linear algebraic equations with indefinite matrices. To filter the
Andrew V Terekhov
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Acoustics, 2022 A vibration absorber consisting of a one-dimensional waveguide with a reflectionless termination extracts vibrational energy from a structure that is to be damped.
Oskar Bschorr, Hans-Joachim Raida
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Fast and Accurate Seismic Computations in Laterally Varying Environments
IEEE Access, 2021 The parabolic equation method provides an unrivaled combination of computational efficiency and accuracy for wave propagation problems in the geosciences in which the environment has strong vertical variations and gradual horizontal variations.
Michael D. Collins +2 more
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Energies, 2022 In seismic exploration, obtaining accurate bandwidth of the reflected signal is essential for determining seismic resolution. A portion of the stored energy is attenuated during signal propagation, narrowing the received seismic signal bandwidth ...
Bohan Zhang, Huazhong Wang
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