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The AAPG/Datapages Combined Publications Database

Showing 65 Results. Searched 200,293 documents.

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Abstract: Physical Modeling for Azimuthal AVO Over a Simulated Fractured Medium; #90174 (2014)

Faranak Mahmoudian, Gary F. Margrave, and Joe Wong

Search and Discovery.com

... to the emitting plane,  is the angle to the vertical axis, and J1 is the Bessel function of order 1. The directivity equation as in equation (1...

2014

Abstract: Building Better Models … Making Full Use of Petrophysical Data; #90211 (2015)

Elizabeth L’Heureux

Search and Discovery.com

... is the modified Bessel function of the second kind of order ν. Initial estimates of the Hurst number can be obtained from the slope of the power spectrum...

2015

Shallow Conduit Behavior of Silicic Magma Chambers: A Detailed Thermal Model; #40949 (2012)

Cathina Gunn de Rosas and Glen Mattioli

Search and Discovery.com

... is given by” equation 3 (Denlinger & Hoblitt, 1999). “where a1 is the first root of the Bessel function J0, and J1 is the derivative of J0...

2012

Pressure Transient Behavior of Unconventional Reservoirs: Combined Effect of Spatial Variation and Stress-Dependence of Formation Permeability

Ayon Kumar Das, Hassan Hassanzadeh

Unconventional Resources Technology Conference (URTEC)

.... After weakening the nonlinearity by applying Pedrosa's transformation, features of the perturbation technique and modified Bessel functions...

2019

Data selection for velocity model estimation using a circular shot OBN survey

Felipe T. Costa, Sergio L. E. F. da Silva, Ammir A. Karsou, Felipe Capuzzo, Roger M. Moreira, Jorge Lopez, Marco Cetale

International Meeting for Applied Geoscience and Energy (IMAGE)

... to circular shot OBN surveys, comparing different objective functions and successfully retrieving structures in the Brazilian pre-salt area. Despite...

2023

A New Model for Pressure Transient Analysis of Fractured Horizontal Wells in Shale Gas Reservoirs With Continuum and Discrete Fracture Networks

Zhiming Chen, X W. Liao, H Zhang, Wei Yu, X D. Shen, Xiaoqing Shang, J L. Zhang, Hongyang Chu, Qingling Liu

Unconventional Resources Technology Conference (URTEC)

... ) is the second kind of modified Bessel functions. With superposition principle, the dimensionless pressure difference by production of natural fractures...

2018

Forebulge Migration: A Three-dimensional Flexural Numerical Modeling and Subsurface Study of Southwestern Wyoming

Hongjun Luo, Dag Nummedal

AAPG Special Volumes

... to Bessel-Kelvin functions:where = [D/ρg]1/4/1000 (km); ρ = density of load (basement) (2800 kg/m3); a = radius of disc load; ker, kei, ker, kei, ber, bei...

2012

A New Method for Handling the Nugget Effect in Kriging

K. Krivoruchko, A. Gribov, J. M. Ver Hoef

AAPG Special Volumes

... be formulated in terms of covariance or semivariogram functions. In either formulation, the models of spatial autocorrelation commonly exhibit similar...

2006

Multi-scale anisotropic dispersion and attenuation in VTI media with penny-shaped cracks

Yanwen Feng, Zhaoyun Zong, Guangzhi Zhang

International Meeting for Applied Geoscience and Energy (IMAGE)

... cracks order Bessel functions, respectively,   3i  2 K f ,  is frequency,  is the fluid viscosity. E f is additional strain caused by interlayer...

2023

Conditional image prior for uncertainty quantification in full-waveform inversion

Lingyun Yang, Omar M. Saad, Tariq Alkhalifah, Guochen Wu

International Meeting for Applied Geoscience and Energy (IMAGE)

...) where ε is the variance of the Gaussian process, Γ denotes the gamma function (Artin, 2015), Kη represents the modified Bessel function...

2024

Stochastic inversion based on Von Karman random medium prior model

Longdong Liu, Baoli Wang, Ying Lin, Guangzhi Zhang

International Meeting for Applied Geoscience and Energy (IMAGE)

... equation, v denotes the Hurst coefficient,  denotes the gamma function, K v is the class two Bessel function modified of order v , r is the normalized...

2024

FWI uncertainty analysis with Stein variational gradient descent

Haoyang Cen, Kaihang Guo, Diancheng Wang

International Meeting for Applied Geoscience and Energy (IMAGE)

... scale, ν is a smoothness parameter, 𝛤𝛤 is the gamma function, 𝐾𝐾𝜈𝜈 is the modified Bessel function of the second kind of order ν...

2024

Permeability from NMR in the Unconventional Point-Pleasant Formation

Xinglin Wang, Philip M. Singer, Yunke Liu, Zeliang Chen, George J. Hirasaki, Zheng Yang, Scott J. Seltzer, Boqin Sun, Marcus O. Wigand, Jon E. Burger

Unconventional Resources Technology Conference (URTEC)

..., and: ∞ 𝐶 𝑐𝑦𝑙 = ∑ 𝑛=1 4 4𝐷∞ 𝛼 2 𝑛 𝑒𝑥𝑝 (− 𝑡) 2 2 𝑑 𝛼𝑛 where 𝛼 𝑛 are the positive roots of the Bessel function of the first type of order zero...

2021

Pressure Transient Behaviour of Naturally Fractured Reservoirs

Doddy Abdassah

Indonesian Petroleum Association

.... Crawford, G.E. Hagedorn, A.R. and Pierce, A.E.: "Analysis of Pressure Buildup Test in a Naturally Fractured Reservoir," J. Pet. Tech. (November 1976...

1985

Rock-Fluid Interaction Impact on Geomechanical and Acoustic Properties in Shale Reservoirs: Anisotropic Grain Contact Adhesion Model

Binh T. Bui, Azra N. Tutuncu

Unconventional Resources Technology Conference (URTEC)

... is the incompressibility of the fluid in the gap, a is the contact radius, h o is the equilibrium separation distance, Jo(a) and J1(a) are Bessel functions of the first...

2014

A Diagnostic Approach to Identify Complex Fracture Geometries in Unconventional Reservoirs Using a Semi-Analytical Model

Zhiming Chen, Xinwei Liao, Wei Yu, Kamy Sepehrnoori, Xiaoliang Zhao, Xiaojiang Li, He Sun

Unconventional Resources Technology Conference (URTEC)

... qFD is the production flux of the line source into fracture networks; K 0  x  is the second kind of modified Bessel functions; s is the Laplace...

2017

Can Storage Coefficient Be Neglected in the Estimation of Unconfined Aquifer Parameters?

Xunhong Chen

Environmental Geosciences (DEG)

... of thedimensionless variables in equation (1) are z' = –z/D,r' (Kz/Kr)1/2, t' = tKz/SyD, l' = l/D, l'3 = l3/D. J0 is thezeroorder Bessel function of the first kind...

2000

Modeling the Semivariogram: New Approach, Methods Comparison, and Simulation Study

A. Gribov, K. Krivoruchko, J. M. Ver Hoef

AAPG Special Volumes

... functions, power exponential functions, and J- and K-Bessel functions were commonly used to model the semivariogram. Soviet meteorological monitoring...

2006

Integrated Quantification of Immobile and Producible Fluids from Nuclear Magnetic Resonance (NMR) T1-T2 Log and Multi-Physics Core Measurements

Tianmin Jiang, Hesham El-Sobky, Bairta V. Biurchieva, Scott J. Jacobsen, Austin Bertoch

Unconventional Resources Technology Conference (URTEC)

... is the diffusivity of H2O/D2O in the rock; and αn are the positive roots of the Bessel function of the first type of order zero. If multiple values of diffusivity...

2025

On Using The Log-hyperbolic Distribution To Describe The Textural Characteristics Of Eolian Sediments

K.-H. Wyrwoll , G. K. Smyth

Journal of Sedimentary Research (SEPM)

..., Handbook of mathematical functions, with formulas, graphs and mathematical tables: Washington, National Bureau of Standards. BAGNOLD, R. A., 1941...

1985

An Assessment of Analytical Techniques For The Size Analysis of Fine-Grained Sediments

J. K. Singer , J. B. Anderson, M. T. Ledbetter, I. N. McCave, K. P. N. Jones, R. Wright

Journal of Sedimentary Research (SEPM)

...; r is the particle radius; n(r) is the size distribution function; k = 2/, being 633 nm here; and J is the Bessel function of the first kind. Having...

1988

Statistical Characterization of Grain-Size Distributions in Sandy Fluvial Systems

Elizabeth A. Hajek, Snehalata V. Huzurbazar, David Mohrig, Ranie M. Lynds, Paul L. Heller

Journal of Sedimentary Research (SEPM)

...-hyperbolic probability density function for x as the natural log of grain size is given by for x ε R, where K1(.) is the modified Bessel function...

2010

Assessing spatial uncertainty in reservoir characterization for carbon sequestration planning using public well-log data: A case study

Erik R. Venteris, Kristin M. Carter

Environmental Geosciences (DEG)

... variogram functions as well; a spherical model was used for all because exponential and k-Bessel variogram models did not improve the results...

2009

PROYECCIÓN CARTOGRAFICA PARA PETRÓLEOS MEXICANOS (IN SPANISH) Cartographic Projection for Mexican oils

Jorge Caire Lomeli

Boletín de la Asociación Mexicana de Geólogos Petroleros (AMGP)

... terrestre; y así se tienen los seis principales elipsoides: Clarke de 1866, Clarke de 1880, Everest, Bessel, Interna­ cional y el de Clarke de 1858. ( V e r...

1974

Quantitative Electric Log Interpretation of "D" and "J" Sands-Denver Basin

J. Grynberg

Rocky Mountain Association of Geologists

.... These equations are various Bessel functions, which will not be discussed in this paper. However, we can define the short normal apparent resistivity, R...

1956

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