Downhole microseismic monitoring of hydraulic fracturing: a full-waveform approach for complete moment tensor inversion and stress estimation by Song, Fuxian, Toksoz, M. Nafi, Li, Junlun

“…By matching full three-component waveforms across the array, a stable moment tensor solution can be obtained without imposing additional constraints. …”
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Full-waveform Based Complete Moment Tensor Inversion and Stress Estimation from Downhole Microseismic Data for Hydrofracture Monitoring by Song, Fuxian, Toksoz, M. Nafi

“…By matching the waveforms across the array, a stable moment tensor solution can be obtained without imposing additional constraints. …”
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Electrodynamics of Moving Media by Penfield, Paul L., Jr., Haus, Hermann A.

Subjects: “…Asymmetric Energy Momentum Tensors…”
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Nuclear Magnetic Resonance and Hyperfine Structure by Smith, W. W., Waymouth, J. F., Jr., Walter, W. T., Bitter, F., Fork, R. L., Stroke, H. H.

Subjects: “…Dielectric Susceptibility Tensor for an Atomic Vapor…”
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Transverserly Isotropic Saturated Porous Formations: 1. Theoretical Developments And (Quasi) Body Wave Properties by Schmitt, D. P.

“…It allows to take into account a transversely isotropic skeleton and/or a transversely isotropic complex permeability tensor whose axes of symmetry are assumed to coincide. …”
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Anisotropic Perfectly Matched Layers for Elastic Waves in Cartesian and Curvilinear Coordinates by Zheng, Yibing, Huang, Xiaojun

“…We develop new numerical anisotropic perfectly matched layer (PML) boundaries for elastic waves in Cartesian, cylindrical and spherical coordinate systems. The elasticity tensor of this absorbing boundary is chosen to be anisotropic and complex so that waves from the computational domain are attenuated in the boundary layer without reflection. …”
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Transverserly Isotropic Saturated Porous Formations: II. Wave Propagation And Application To Multipole Logging by Schmitt, D. P.

“…It allows to take into account a transversely isotropic skeleton and/or a transversely isotropic complex permeability tensor. Their axes of symmetry are assumed to coincide, parallel to the vertical axis of the borehole. …”
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Estimating The Elastic Moduli Of Transversely Isotropic Formations by Ellefsen, K. J., Cheng, C. H.

“…The final estimates of the elastic moduli are constrained by the a priori estimates of their values and by the requirement to keep the stiffness tensor positive definite. The inversion produced similar results when it was applied to synthetic data from hard and soft formations. …”
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Predicting stress-induced anisotropy around a borehole by Fang, Xinding, Fehler, Michael, Zhu, Zhenya, Chen, Tianrun, Brown, Stephen, Cheng, Arthur, Toksoz, M. Nafi

“…Our iterative approach converges very fast and can be applied to calculate the spatially varying stiffness tensor of the formation around a borehole for any given stress state.…”
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An approach for predicting stress-induced anisotropy around a borehole by Fang, Xinding, Fehler, Michael, Zhu, Zhenya, Chen, Tianrun, Brown, Stephen, Cheng, Arthur, Toksoz, M. Nafi

“…Our iterative approach converges very fast and can be applied to calculate the spatially varying stiffness tensor of the formation around a borehole for any given stress state.…”
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A Review of Relational Machine Learning for Knowledge Graphs by Nickel, Maximilian, Murphy, Kevin, Tresp, Volker, Gabrilovich, Evgeniy

“…The first is based on tensor factorization methods and related latent variable models. …”
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Focal Mechanism Determination using High Frequency, Full Waveform Information by Li, Junlun, Zhang, Haijiang, Kuleli, Huseyin Sadi, Toksoz, M. Nafi

“…To speed up the algorithm, a library of Green‟s functions is pre-calculated for each of the moment tensor components and possible earthquake locations. …”
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Focal Mechanism Determination Using High Frequency Waveform Matching and Its Application to Small Magnitude Induced Earthquakes by Li, Junlun, Zhang, Haijiang, Kuleli, Huseyin Sadi, Toksoz, M. Nafi

“…To speed up the algorithm, a library of Green’s functions is pre-calculated for each of the moment tensor components and possible earthquake locations. …”
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Full-waveform Based Microseismic Source Mechanism Studies in the Barnett Shale: Linking Microseismicity to Reservoir Geomechanics by Song, Fuxian, Warpinski, Norm R., Toksoz, M. Nafi

“…Microseismic moment tensor (MT) contains important information on the reservoir and fracturing mechanisms. …”
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Object-Oriented Deep Learning by Liao, Qianli, Poggio, Tomaso

“…To that end, we propose Object-Oriented Deep Learning, a novel computational paradigm of deep learning that adopts interpretable “objects/symbols” as a basic representational atom instead of N-dimensional tensors (as in traditional “feature-oriented” deep learning). …”
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