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The AAPG/Datapages Combined Publications Database

Showing 36 Results. Searched 195,354 documents.

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Fermat’s Principle Raypaths in 3D Anisotropic Media

Bill Vetter

CSPG Special Publications

...Fermat’s Principle Raypaths in 3D Anisotropic Media Bill Vetter 1998 23 24...

1998

Finite Difference Modelling: Part IV

Lasse Amundsen, Ørjan Pedersen, Martin Landrø

GEO ExPro Magazine

... lines or rays. Those who have read the book Introduction to Exploration French mathematician Pierre de Fermat (1601–1665) is often called the founder...

2019

The Application of a Linear Increase of Velocity with Depth to Seismic Dip Migration

J. E. Stones

Oklahoma City Geological Society

... is based on this assumption. According to Fermat's Principle a ray reaching a given point from a given source follows a minimum time path. Snell's Law...

1958

Abstract: Regime Rays: Visualizing the Fermat/Snell Loci in Homogeneous Anisotropic Media; #90171 (2013)

William J. Vetter

Search and Discovery.com

... wavelength/compositesrepetition-thickness ratio (e.g. Macbeth 2002). I suggest that Fermat’s principle and Snell’s law should apply in such composites...

2013

Anisotropy Kinematics Clarified through Regime Rrays Model

William J. Vetter

Search and Discovery.com

... channels (c.f. Cerveny 2001 p.28-30, p.103). They are (1) not traveltimes minimizing Fermat’s principle loci, (2) not pointwise Snell’s law conforming...

Unknown

Anisotropy Kinematics Clarified through Regime Rrays Model

William J. Vetter

Search and Discovery.com

... channels (c.f. Cerveny 2001 p.28-30, p.103). They are (1) not traveltimes minimizing Fermat’s principle loci, (2) not pointwise Snell’s law conforming...

Unknown

Flow Simulation of Complex Fracture Systems With Unstructured Grids Using the Fast Marching Method

Changdong Yang, Xu Xue, Michael J. King, Akhil Datta-Gupta

Unconventional Resources Technology Conference (URTEC)

... grids with two types of discretization, which are based on Fermat’s principle and Eulerian discretization. The accuracy and convergence...

2017

Chart Migrations

Frank A. Roberts

Oklahoma City Geological Society

..., depth and offset of reflecting horizons. The construction of the graph must include: Fermat's fundamental principle of seismology which is that a wave...

1958

Abstracts: Synthetic Microseismic Files; #90173 (2015)

J. Wong, P. M. Manning, L. Han, and J. B. Bancroft

Search and Discovery.com

... location using nonlinear optimization: CREWES Research Report, 21, 73.1-73.14. Wong, J., 2010. Fermat’s principle and ray tracing through anisotropic...

2015

Application of Traveltime Tomography and Kirchhoff Migration Methods to Improve the Seismic Cross-Section Resolution on 2D Land Seismic Data

Harmita Lestari, Nur Ayu Anas, Muh. Resky Ariansyah, Sabrianto Aswad, Heri Winarto

Indonesian Petroleum Association

.... Basic legal principles include Snellius’s Law, Huygens’s Principle, and Fermat’s Principle (Shearer, 2009). * ** Bolt (1976), mechanical waves...

2019

Dip and Azimuth Determination in 3D CRS-Stack

A. Hendriyana, M. Jaya, R. Sule, A.D. Guntara

Indonesian Petroleum Association

... properties along the raypath between source and receiver according to Fermat’s principle in ray theory. In contrast, CRS stacking operation...

2013

Subsurface Characterizaton Using Microseismic Velocity, Attenuation, and Ansiotrophy Tomography in a Geothermal Field

Ahmad Syahputra, Andri Dian Nugraha, Rachmat Sule, Sri Widiyantoro

Indonesian Petroleum Association

... bending is an approach in minimization of travel time base on Fermat’s Principle by applying small perturbations gradually on ray paths. Delay time...

2014

Abstract: Predicting Free Surface Multiples without the Water: SRME on Land; #90224 (2015)

Keith Wilkinson, Richard Bale, and Ken Gray

Search and Discovery.com

... is applied, and Fermat’s principle (stationary phase) results in the true DRP being reconstructed. The set of traces which constitute cross-convolved...

2015

The Limitations of Seismic Modelling of Geological Structures

B. L. N. Kennett

Petroleum Exploration Society of Australia (PESA)

... while bouncing them off a specified reflector. This is not a trivial computational task, but can sometimes be simp• lified by the use of Fermat's...

1985

High Resolution Diffraction Imaging of Small Scale Fractures in Shale and Carbonate Reservoirs

Alexander M. Popovici, Ioan Sturzu, Tijmen J. Moser

Unconventional Resources Technology Conference (URTEC)

....” By Huygens’ principle a reflector can be represented by a series of point diffractors that are positioned on its surface. In the second category...

2015

Implementation of the DIPSCAN Method to Estimate Boundary Dips in Complicated Structures by VSP Data

A. A. Tabakov, V.N.Ferentsi, H. Gravini

Asociación Colombiana de Geólogos y Geofisicos del Petróleo (ACGGP)

...) and velocity model of media in a vicinity Ω are known. From Fermat’s principle follows, that the ray is propagated from source point S to receiver point M...

2006

Application of finite difference eikonal solver for traveltime computation in forward modeling and migration

Amir Mustaqim Majdi, Seyed Yaser Moussavi Alashloo, Nik Nur Anis Amalina Nik Mohd Hassan, Abdul Rahim Md Arshad, Abdul Halim Abdul Latiff

Geological Society of Malaysia (GSM)

... of the wave traveling like a ray through the shortest path (Fermat’s principle) in the model and change direction when encountering velocity and density...

2021

Diving wave tomography: Velocity modelling using first arrival traveltime

Amatul Syafi Abdul Basit, Abdul Rahim Md Arshad, Arulini Permalu

Geological Society of Malaysia (GSM)

... analysis of rock physics. In this paper, we focus on tomography and its working principle on near-surface velocity modelling. We restricted our workflow...

2022

Limitations of Reflection Seismograph

L. E. Nugent, Jr.

AAPG Bulletin

..., seismic media are often considered isotropic and homogeneous for convenience in theoretical considerations. Thus, Huygen's principle, which states...

1953

Critical Analysis of Stack Seismic Systems

L. E. Nugent, Jr.

AAPG Bulletin

... of Huygen and Fermat concerning wave advancement and minimum time paths, and Snell's law on refraction and reflection. Figure 2 has the same field...

1967

Introduccion al Estudio de la Exploracion Sismologica (IN SPANISH), Introduction to The Study of Seismology Exploration

D. W. Rockwell

Boletín de la Asociación Mexicana de Geólogos Petroleros (AMGP)

... viajado por la ruta más rápida, pero esto es, en efecto, lo que mantiene el Principio de Fermât. Se verá posteriormente que tanto la ley de reflexión como...

1952

Dealing with Risk and Uncertainty in Exploration: How Can We Improve?

Peter R. Rose

AAPG Bulletin

... WITH RISK Expected Value and Risk Aversion The concept of expected value, apparently originated in 1654 by the French mathematicians Fermat and Pascal...

1987

Chapter 10: Earthquake, Tomographic, Seismic Reflection, and Gravity Evidence for a Shallowly Dipping Subduction Zone beneath the Caribbean Margin of Northwestern Colombia

Rocio Bernal-Olaya, Paul Mann, Carlos A. Vargas

AAPG Special Volumes

... were used to improve the regional velocity model. Ray paths from each source to the receiver are then traced by applying Fermat’s principle to find...

2015

Designing Coal-Bed Methane Seismic Acquisition Survey Parameters Using Finite Difference Modeling

Abdul Haris, Befriko Murdianto, Adriansyah

Indonesian Petroleum Association

..., for example, ray tracing which suffers in complex media due to its reliance on Fermat first arrival. The unique properties of the CBM reservoir, which...

2009

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