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In this paper we present a novel technique for micro-seismic localization using a group sparse penalization that is robust to the focal mechanism of the source and requires only a velocity model of the stratigraphy rather than a full…

Geophysics · Physics 2015-06-15 Gregory Ely , Shuchin Aeron

In this work, we propose a full-waveform technique for the spatial reconstruction and characterization of (micro-) seismic events via joint source location and moment tensor inversion. The approach is formulated in the frequency domain, and…

Computational Physics · Physics 2020-07-15 Alan A. S. Amad , Antonio A. Novotny , Bojan B. Guzina

Faults and geological barriers can drastically affect the flow patterns in porous media. Such fractures can be modeled as interfaces that interact with the surrounding matrix. We propose a new technique for the estimation of the location…

Numerical Analysis · Mathematics 2016-10-24 Hend Ben Ameur , Guy Chavent , Cheikh Fatma , François Clément , Vincent Martin , Jean E. Roberts

Microseismic event detection and location are two primary components in microseismic monitoring, which offers us invaluable insights into the subsurface during reservoir stimulation and evolution. Conventional approaches for event detection…

Geophysics · Physics 2024-10-02 Yuanyuan Yang , Claire Birnie , Tariq Alkhalifah

Continuous microseismic monitoring of hydraulic fracturing is commonly used in many engineering, environmental, mining, and petroleum applications. Microseismic signals recorded at the surface, suffer from excessive noise that complicates…

Micro-seismic events, naturally occurring within geological formations and quasi-brittle engineered systems, provide a powerful window into the evolving processes of material degradation and failure. Accurate characterization of these…

Geophysics · Physics 2024-01-18 A. A. M. da Silva , A. A. Novotnty , A. A. S. Amad , B. B. Guzina

Accurate characterization of microseismic events during fluid injection in sedimentary formations is essential to mitigate environmental risks. The source mechanism for microseismic events related to a slip on a fault plane is given by a…

Geophysics · Physics 2026-03-18 Ujjwal Shekhar , Einar Iversen , Florin A. Radu , Inga Berre , Morten Jakobsen

We present a series of new open source deep learning algorithms to accelerate Bayesian full waveform point source inversion of microseismic events. Inferring the joint posterior probability distribution of moment tensor components and…

Geophysics · Physics 2021-08-03 A. Spurio Mancini , D. Piras , A. M. G. Ferreira , M. P. Hobson , B. Joachimi

Earthquakes are commonly estimated using physical seismic stations, however, due to the installation requirements and costs of these stations, global coverage quickly becomes impractical. An efficient and lower-cost alternative is to…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Daniele Rege Cambrin , Isaac Corley , Paolo Garza , Peyman Najafirad

Waveform cross correlation is an efficient tool for detection and characterization of seismic signals. The efficiency critically depends on the availability of master events. For the purposes of the Comprehensive Nuclear-Test-Ban Treaty,…

Geophysics · Physics 2013-05-15 Dmitry Bobrov , Ivan Kitov , Mikhail Rozhkov

In this work we propose a novel algorithm for multiple-event localization for Hydraulic Fracture Monitoring (HFM) through the exploitation of the sparsity of the observed seismic signal when represented in a basis consisting of space time…

Geophysics · Physics 2013-05-13 Gregory Ely , Shuchin Aeron

Earthquakes are a major threat to nations worldwide. Earthquake detection is an important scientific challenge, not only for its social impacts, but also since it reflects the actual degree of understanding of the physical processes…

Geophysics · Physics 2023-05-05 Yosef Ashkenazy , Ittai Kurzon , Eitan Asher

Abstract Compared to existing schemes, the decomposition of moment tensors for mining-induced seismic events into closing-crack and double-couple components has the advantage that each can be interpreted in terms of a physical source…

Geophysics · Physics 2023-10-31 Alex Rigby

We present the "condensation" method that exploits the heterogeneity of the probability distribution functions (PDF) of event locations to improve the spatial information content of seismic catalogs. The method reduces the size of seismic…

Geophysics · Physics 2015-09-02 Y. Kamer , G. Ouillon , D. Sornette , J. Woessner

Projective Norms are a class of tensor norms that map on the input and output spaces. These norms are useful for providing a measure of entanglement. Calculating the projective norms is an NP-hard problem, which creates challenges in…

Quantum Physics · Physics 2026-01-05 Aaditya Rudra , Maria Anastasia Jivulescu

Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

Machine Learning · Computer Science 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

A similar waveform search plays a crucial role in seismology for detecting seismic events, such as small earthquakes and low-frequency events. However, the high computational costs associated with waveform cross-correlation calculations…

Geophysics · Physics 2024-06-04 Makoto Naoi , Shiro Hirano

We present a novel algorithm explicitly tailored to estimate motion from time series of 3D images of concrete. Such volumetric images are usually acquired by Computed Tomography and can contain for example in situ tests, or more complex…

Image and Video Processing · Electrical Eng. & Systems 2023-10-18 Tessa Nogatz , Claudia Redenbach , Katja Schladitz

In this paper, we present a technically simple method to establish upper bounds on the expected injective norm of real and complex random tensors. Our approach is somewhat analogous to the moment method in random matrix theory, and is based…

Probability · Mathematics 2026-03-03 Stephane Dartois , Benjamin McKenna

In this work, we propose new matrix- and tensor-based methodologies for estimating multivariate intensity functions of inhomogeneous point processes. By viewing multivariate intensity functions as infinite-dimensional matrices or tensors…

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