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The AAPG/Datapages Combined Publications Database
Showing 49 Results. Searched 200,293 documents.
The Role of Diffusion in Primary and Enhanced Oil Recovery from Fractured Unconventional Reservoirs
Olufemi Olorode, Hassan Amer, Harun Rashid
Unconventional Resources Technology Conference (URTEC)
... (1985) as follows: [16] where δij is the Kronecker delta and is the fugacity coefficient of component i in phase α. The partial derivative...
2021
Quantifying Crack Properties of Source Rocks from Elastic Stress Sensitivity
Jihui Ding, Anthony C. Clark, Tiziana Vanorio, Adam D. Jew, John R. Bargar
Unconventional Resources Technology Conference (URTEC)
... (1) (2) (3) where αij and βijkl 𝑎re the second- and fourth-rank tensors, respectively; δij is the Kronecker delta; r is the number of cracks...
2021
3D Modeling and Analysis of the Utah FORGE Reservoir Stimulation
Dharmendra Kumar, Ahmad Ghassemi, Baohua Liu
Unconventional Resources Technology Conference (URTEC)
... is the Poisson’s ratio, and δij is the Kronecker delta function. Fluid pressure distribution, leak-off, and fracture apertures are quantified using the fluid flow...
2023
Pre-Refracturing Stress Field Simulation in Shale Gas Reservoirs
Yanshan Guo, Lan Ren, Jing Huang, Jinzhou Zhao, Ran Lin, Zhihao Yu, Bo Zhou, Jianjun Wu, Bing Li
Unconventional Resources Technology Conference (URTEC)
... desorption induced volumetric strain, dimensionless; δij is the Kronecker delta that when i=j, δij=1, otherwise δij=0; pL is the Langmuir pressure, Pa; pm...
2025
3D Digital Mineral Mechanical Modeling of Complex Reservoir Rocks for Investigation of Fracture Propagation at Microscale
Victor Nachev, Andrey Kazak, Sergey Turuntaev
Unconventional Resources Technology Conference (URTEC)
...·2010) and then correct for regional stresses: s ij = l·e·δij + 2G·εij + β·P·δij (2) e = ε xx + ε yy + ε zz (3) 1 æ ¶U ¶U j εij = ç i + 2 ç ¶x j...
2021
Numerical Investigation of Turbidity Currents Flowing Through Minibasins on the Continental Slope
Sadia M. Khan, Jasim Imran
Journal of Sedimentary Research (SEPM)
... gravitational acceleration, δij is the Kronecker delta with index i and j both equal to 2 indicating the direction of gravity, Dm is the diffusion...
2008
Integrating Poroelastic Effects of Wastewater Injection and Rupture Dynamics to Understand Induced Seismicity
Dawid Szafranski, Benchun Duan
Unconventional Resources Technology Conference (URTEC)
... conditions respectively, α is a Biot’s coefficient, q(t) is the injection history, δij is a Kronecker delta, ξ is similarity factor defined...
2018
The Role of Poroelasticity in Normal Fault Reactivation Triggered by Hydraulic Fracturing
Mahdi Haddad, Peter Eichhubl
Unconventional Resources Technology Conference (URTEC)
.../s². The relationship between effective stress (σij), total stress (Sij), and pore pressure (Pp) is given by: σij= Sij− Ppδij, (1) where δij is the Kronecker delta...
2025
Abstract: Monte Carlo Markov Chain Methods in Seismic Deconvolution; #90174 (2014)
Andres Medina and Mirko van der Baan
Search and Discovery.com
... with parameters p, 0 and , (Debeye and van Riel, 1990). This is summarized by: , (2) for every and with , the Kronecker delta function. The added noise...
2014
Abstract: Pore-scale Modeling and Simulation: Determining Petrophysical and Multiphase Flow Properties in Natural Porous Media; #90224 (2015)
Shahin Ghomeshi, Sergey Kryuchkov, Jonathan Bryan, and Apostolos Kantzas
Search and Discovery.com
... matrix, 𝐧 is the interface normal, 𝜎 is surface tension coefficient and kronecker delta function 𝛿 is non-zero only at the fluid interface. Datapages...
2015
Kronecker neural networks for the win: Overcoming spectral bias for PINN-based wavefield computation
Umair bin Waheed
International Meeting for Applied Geoscience and Energy (IMAGE)
...Kronecker neural networks for the win: Overcoming spectral bias for PINN-based wavefield computation Umair bin Waheed Kronecker neural networks...
2022
Shale Shrinkage Transition Induced by the Matrix-Fracture Equilibrium Time Lag: A Neglected Phenomenon in Shale Gas Production
Jie Zeng, Jishan Liu, Wai Li, Yee-Kwong Leong, Derek Elsworth, Jianchun Guo
Unconventional Resources Technology Conference (URTEC)
... is the Kronecker delta; αm is the effective Biot coefficient of the matrix system; αf is the effective Biot coefficient of the natural fracture...
2021
Simulation of seismic waves in the fluid-solid coupled thermoelastic medium
Sen Yang, Guochen Wu, Junzhen Shan, Hongying Liu
International Meeting for Applied Geoscience and Energy (IMAGE)
..., and 𝛿 is the Kronecker-delta component. 𝐮 𝐱, t 𝑢 , 𝑢 , 𝑢 , 𝐮 𝐱, t 𝑢 , 𝑢 , 𝑢 are the fluid and solid phase displacement vectors at the fluid-solid...
2023
Characterization and Simulation of Fluid Flow in Natural Fracture Networks
Hugo Harstad, Lawrence W. Teufel, John C. Lorenz
Rocky Mountain Association of Geologists
...-percolating (non-connecting) fracture network. Km is matrix permeability and ? is the Kronecker delta function. The fracture tensor P is defined...
1997
Stress Field Change due to Reservoir Depletion and Its Impact on Refrac Treatment Design and SRV in Shale Reservoirs
Jiahang Han, Andy Sookprasong, Robert Hurt
Unconventional Resources Technology Conference (URTEC)
... material. 𝜹𝜹 𝒊𝒊𝒊𝒊 is the Kronecker delta. 1/H is 1/K-1/Ks defined by Biot (1941). 𝝈𝝈 𝒌𝒌𝒌𝒌 is the volume stress. The relevant field equations...
2015
Pyseis: A high-performance, user-friendly Python package for GPU-accelerated seismic modeling and subsurface imaging
Stuart Farris, Guillaume Barnier, Ettore Biondi, Robert Clapp
International Meeting for Applied Geoscience and Energy (IMAGE)
... and temporal coordinates, di j is the Kronecker delta, r is the density, l is the first Lam´ pae rameter, µ is the shear modulus, vi is the particle...
2023
Elastic FWI for joint Vp, Vs and density inversion
Peng Shen, Uwe Albertin, Hermes Malcotti, Josh Haataja
International Meeting for Applied Geoscience and Energy (IMAGE)
...), and in the sequel. In equation (6), δi j is the Kronecker delta, and Dv is defined as Dv1 = v1,1 (7) Dv2 = v2,2 (8) Dv3 = v3,3 Dv4 = v2,3...
2024
The Technology of the Joint Inversion of Conventional Well Logs for Evaluation of Double Porosity Carbonate Formations; #41942 (2016)
Elena Kazatchenko, M. Markov, A. Mousatov, E. Pervago
Search and Discovery.com
..., and (4) is the Kronecker delta. The solution of a one-particle problem for the strain of an ellipsoid placed in an infinite effective medium...
2016
Investigation of Lateral Fracture Complexity to Mitigate Frac Hits During Interwell Fracturing
Yanli Pei, Jiacheng Wang, Wei Yu, Kamy Sepehrnoori
Unconventional Resources Technology Conference (URTEC)
... phases, δ is the Kronecker delta, and σ 0 and P0 are the total stress tensor and average pore pressure at the reference state. The strain tensor can...
2020
Coupled Geomechanics and Pore Confinement Effects for Modeling Unconventional Shale Reservoirs
Yi Xiong, Philip Winterfeld, Yu-Shu Wu
Unconventional Resources Technology Conference (URTEC)
... it’s shear stress; is Kronecker delta, given by α is Biot’s coefficient; P is the pore pressure; ΔT is the temperature change to the reference...
2014
Could Diagenesis in Carbonate Source Rock Predefine Its Fracturing Behavior?
Maaruf Hussain, Naeem Minhas, Gaurav Agrawal, Dave Cantrell
Unconventional Resources Technology Conference (URTEC)
... and grain associations respectively. Z is the co-ordination number. i and j are different types of mineral grains observe in the rock. ij is the Kronecker...
2016
Effects of Porous Properties of Rock on Near-Wellbore Hydraulic Fracture Complexity
Yongcun Feng, K. E. Gray
Unconventional Resources Technology Conference (URTEC)
... tensor, 𝑝 is the pore pressure, 𝑝 𝑜 is the initial pore pressure, 𝛿 𝑖𝑗 is the Kronecker delta, 𝜀 𝑖𝑗 is the strain tensor...
2018
Enhanced Faults Interpretation in West Offshore Madura using Boundary Element and Slip Tendency Analysis
Ghufron Fauzi, Khadafi, Andri Akbar, Brett Freeman, Renny Sara Sipayung
Indonesian Petroleum Association
... respectively, G is the shear modulus, is the Lamé constant and ij is the Kronecker delta. It is usually more convenient to define the elastic constants...
2019
Improving Field Development Decisions in the Vaca Muerta Shale Formation by Efficient Integration of Data, AI, and Physics
Hector Klie, Arturo Klie, Adolfo Rodriguez, Jorge Monteagudo, Alejandro Primera, Maria Quesada
Unconventional Resources Technology Conference (URTEC)
...) 𝜎 𝑖𝑗 = 𝜆𝜖 𝑘𝑘 𝛿 𝑖𝑗 + 2𝜇𝜖 𝑖𝑗 − 𝛿 𝑖𝑗 𝛼𝑃 (7) and: where 𝛿 𝑖𝑗 is the Kronecker delta; 𝜖 𝑖𝑗 is the component 𝑖, 𝑗 of the strain tensor...
2019
PowerPoint Presentation
Engelder
Search and Discovery.com
... combine the orthogonality relations into one equation where the symbol, dij, is called the Kronecker delta. Second rank tensor -- In general...
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