ABSTRACT: Simplified and Constrained Gassmann's Equations; #90007 (2002)

De-hua Han, Michael Batzle

Search and Discovery.com

... Voigt-Reuss bounds and critical porosity limits constrain the Gassmann's equations and provide upper and lower bounds of the fluid saturation effect...

Gassmann With Texture Dependent Effective Grain Moduli

Search and Discovery.com

Modeling of Sandstone Ngrayong Formation Using Digital Image Analysis

Annisa Rachmi Trahwiwit Widijana, Fourier Dzar Eljabbar, Almira Anissofira, Fatkhan, Handoyo

Indonesian Petroleum Association

... are not as prevalent as the pore shape. The Voigt–Reuss– Hill formulation is common equation used to estimate the elastic moduli of a rock. Voigt– Reuss– Hill...

Abstract: Reservoir Characteristics of a Quaternary Channel: Incorporating Rock Physics in Seismic and DC Resistivity Surveys; #90211 (2015)

Jawwad Ahmad and Douglas Schmitt

Search and Discovery.com

...). Voigt-Reuss bounds are also shown here. (b) Original Vp based on sonic log (black); Vp after water saturation (blue); and Vp after gas saturation (red...

Acoustic Velocity Modeling of Unconventional Reservoirs

Alessandra Simone, Lori Hathon, Michael Myers

Unconventional Resources Technology Conference (URTEC)

... parameters were fit to derive the Reuss (L=0) and Voigt (L=1) bounds to describe the impact of geometry on acoustic anisotropy. Measurements of elastic moduli...

Abstract: The Effect of Clay and Gas on the Elastic Properties of Sandstones (Paper 15)

Mark Sams, Martijn Andrea

Geological Society of Malaysia (GSM)

.... VariQus modelling techniques such as the self consistent method, KursterToksoz, differential effective medium modelling, Backus averaging and Voigt...

Enabling the Next Generation of Hydrocarbon Exploration

Stefano Volterrani, Tim Matava, Zakir Hossain, Shihong Chi, Brian W. Horn

GEO ExPro Magazine

... in stress and changes in porosity (strain). Similarly, for the basin model, the rock physics model satisfies Voigt-Reuss bounds, ensuring bounded values...

Rock Physics and Depositional Trends; #41316 (2014)

Marco Perez, David Close, and Greg Purdue

Search and Discovery.com

... members through the Hashin-Shtrikman bounds. The zero porosity end member is defined by taking a weighted average (Voigt, Reuss, Hill) of the moduli...

High Resolution Cuttings Analysis for Well Placement in the Uinta Basin

Ilham Permata, Sattor Khakimov, Shaken Kenzhekhanov, Max Toktarov, Karly Clippinger

Unconventional Resources Technology Conference (URTEC)

...). Voigt-Reuss-Hill bound is using Hill’s arithmetic average from Voigt and Reuss calculated values. Voigt (Iso-strain) bound...

4D joint inversion and close-the-loop for production history matching and forecasting

Kelly Wrobel, J. P. Blangy, Tony Rolland, Evan Mutual, Klaus Bolding Rasmussen, Wendell Pardasie

International Meeting for Applied Geoscience and Energy (IMAGE)

... frame as well as a regression function that situates the data in the correct space within Voigt-Reuss bounds. The in-situ rock physics model uses...

Comparative analysis between laboratory measurement and numerical simulation to evaluate anisotropy in Coquinas from Morro do Chaves Formation: A Brazilian presalt analog

Lucas Oliveira, Andr Martins, Marco Ceia, Roseane Missgia, Herson Rocha, Natan Santarm, Jessica Moreira, Irineu Lima Neto

International Meeting for Applied Geoscience and Energy (IMAGE)

... based) and FFT (Fast Fourier Transformation based). The first solver, AF, is based on an analytical Voigt and Reuss approximation and bounds...

Modeling consolidated sandstones with dispersed clay

J. Gallop, L. Vernik, F. Contreras, J.-G. Restrepo, S. Blanco, G. Alvarez

International Meeting for Applied Geoscience and Energy (IMAGE)

... of clay. The first modification can be introduced using a Voigt-Reuss-Hill average (instead of a Reuss one), while the second requires empirical...

Basin-Scale Rock Physics Study and Stochastic AVO Modelling for the Deep Water Kutei Basin (East Kalimantan … Indonesia)

Gabriela Carrasquero, Alessandro Amato del Monte, Fabio Luoni, Paolo Battini, Gilbert Del Molino, Fabri Ikhlas Gumulya, Dedy Sulistiyo Purnomo, Nasif Khifni

Indonesian Petroleum Association

... wells. (b) Crossplots of density versus P-wave velocity (coloured coded by gamma ray) with overlaid Voigt and Reuss bounds and between P-wave velocity...

Layered Modulus Effect on Fracture Modeling and Height Containment

Kaimin Yue, Jon E. Olson, Richard A. Schultz

Unconventional Resources Technology Conference (URTEC)

... is known as the Voigt (1910) average and height-weighted harmonic average is known as the Reuss (1929) average. Voigt and Reuss averages are widely...

Metaheuristic Rock Property Determination Driven by Rock Type Constrained Global N-Dimensional Analysis; #42292 (2018)

Travis Ramsey, Chang Lu, Jie He

Search and Discovery.com

...epresents the Voigt-Reuss-Hill average for the mineral bulk modulus; the rock type component bulk modulus is Ki. The consideration of rock types is im...

Estimation of shear wave velocity based on adaptive step size algorithm

Yipeng Gu, Jiajia Zhang

International Meeting for Applied Geoscience and Energy (IMAGE)

... developed a rock physics model for sandstone:  The mixed mineral modulus was first calculated using the Voigt-Reuss-Hill model;  Then the dry rock...

Chapter 8: Impact of Depositional and Diagenetic Heterogeneity on Multiscale Mechanical Behavior of Mancos Shale, New Mexico and Utah, USA

Hongkyu Yoon, Mathew D. Ingraham, Joseph Grigg, Benjamin Rosandick, Peter Mozley, Alex Rinehart, William M. Mook, Thomas Dewers

AAPG Special Volumes

... of indentation results over two 5 × 5 grid areas in mM micro-lithofacies are shown in Figure 13E, F. Two commonly used mixture models (Voigt and Reuss) have...

Seismic amplitude variation with angle response of hydrogen-saturated rock: Implications on subsurface monitoring

Chao Li, Shuvajit Bhattacharya

International Meeting for Applied Geoscience and Energy (IMAGE)

... modulus, and density of the fluid-saturated medium. For mineral grain, the bulk modulus and shear modulus can be determined by the Voigt-Reuss Hill average...

Reservoir Characterization for Gas Production and CO2 Sequestration

Adriana Gordon, Raul Cova, Evan Mutual, Bill Goodway, Scott Leaney, Wendell Pardasie, Matt Ng

Unconventional Resources Technology Conference (URTEC)

..., incorporating physical bound theories like Voigt, Reuss, Hashin-Shtrikman, and multi-mineral fluid substitution theory (Gassmann). These models...

Abstract: A Look into Gassmanns Equation; #90187 (2014)

Nawras Al-Khateb

Search and Discovery.com

...) to calculate Vshale. The Voigt-Reuss-Hill (VRH) average provides a simple way to calculate Ko, which is basically an average of the Reuss average...

Application of formation pressure prediction technique based on high-density three-dimensional seismic constraints in complex structural zones

Baoli Yu, Keyu Liu, Chao Li, Peng Chen, Baorong Xu, Jia Chen, Wenchao Xiang, Bo Yuan

International Meeting for Applied Geoscience and Energy (IMAGE)

... control; Next, the author establishes the medium equivalent model through the Voigt and Reuss extreme value formula which is from Xu white model...

Analysis of elastic modulus and brittleness properties of coalbed methane reservoir based on rock physics modeling

Aner Huang, Yaofan Zhang, Guowei Wang, Zhaoji Zhang

International Meeting for Applied Geoscience and Energy (IMAGE)

... are mixed into an isotropic mixture by the Voigt-Reuss-Hill (VRH) average, and the mixture is combined with the rotated matrix mentioned above...

Evaluating the impact of CO2 mineralization on the elastic properties of ultramafic rocks

Saleh Almeshari, Nicola Tisato, Clay Wood

International Meeting for Applied Geoscience and Energy (IMAGE)

... how carbonate mineralization impacts the elastic properties of rocks with varying mineral compositions. The Voigt-Reuss-Hill averaging method...

Characterizing Multiple Formations for Gas Production and CO2 Sequestration

Adriana Gordon, Bill Goodway, Evan Mutual, Raul Cova, Scott Leaney, Wendell Pardasie, Matt Ng

Unconventional Resources Technology Conference (URTEC)

..., 2020). It consists of non-linear regression-based models that obey physical bound theory, including Voigt, Reuss, Hashin-Shtrikman theories...

Elastic Dispersion in Shale: Laboratory Tests and Rock Physics Modeling

Rune M. Holt, Audun Bakk, Erling Fjær, Serhii Lozovyi, Kim Sarah Mews

International Meeting for Applied Geoscience and Energy (IMAGE)

... significance in shales. Figure 6 shows P- and S-wave velocities (calculated as a Voigt-Reuss-Hill average) for a material with 50 % clay...