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Exploiting the Kronecker product structure of φ−functions in exponential integrators
(2022-05-15)
Exponential time integrators are well-established discretization methods for time semilinear systems of ordinary differential equations. These methods use (Formula presented.) functions, which are matrix functions related ...
Supervised Deep Learning with Finite Element simulations for damage identification in bridges
(2022-04-15)
This work proposes a supervised Deep Learning approach for damage identification in bridge structures. We employ a hybrid methodology that incorporates Finite Element simulations to enrich the training phase of a Deep ...
On quadrature rules for solving Partial Differential Equations using Neural Networks
(2022-04-01)
Neural Networks have been widely used to solve Partial Differential Equations. These methods require to approximate definite integrals using quadrature rules. Here, we illustrate via 1D numerical examples the quadrature ...
Error representation of the time-marching DPG scheme
(2022-03-01)
In this article, we introduce an error representation function to perform adaptivity in time of the recently developed time-marching Discontinuous Petrov–Galerkin (DPG) scheme. We first provide an analytical expression for ...
Nonhyperbolic normal moveout stretch correction with deep learning automation
(2022-02-15)
Normal-moveout (NMO) correction is a fundamental step in seismic data processing. It consists of mapping seismic data from recorded traveltimes to corresponding zero-offset times. This process produces wavelet stretching ...
2.5-D Deep Learning Inversion of LWD and Deep-Sensing em Measurements Across Formations with Dipping Faults
(2022-01-01)
Deep learning (DL) inversion of induction logging measurements is used in well geosteering for real-time imaging of the distribution of subsurface electrical conductivity. We develop a DL inversion workflow to solve 2.5-D ...
Deep learning enhanced principal component analysis for structural health monitoring
(2022-01-01)
This paper proposes a Deep Learning Enhanced Principal Component Analysis (PCA) approach for outlier detection to assess the structural condition of bridges. We employ partially explainable autoencoder architecture to ...
Uncertainty Quantification on the Inversion of Geosteering Measurements using Deep Learning
(2021-11-01)
We propose the use of a Deep Learning (DL) algorithm for the real-time inversion of electromagnetic measurements acquired during geosteering operations. Moreover, we show that when the DL algorithm is equipped with a ...
Approximations for traveltime, slope, curvature, and geometrical spreading of elastic waves in layered transversely isotropic media
(2021-10)
Each seismic body wave, including quasi compressional, shear, and converted wave modes, carries useful subsurface information. For processing, imaging, amplitude analysis, and forward modeling of each wave mode, we need ...
Massive Database Generation for 2.5D Borehole Electromagnetic Measurements using Refined Isogeometric Analysis
(2021-06)
Borehole resistivity measurements are routinely inverted in real-time during geosteering operations. The inversion process can be efficiently performed with the help of advanced artificial intelligence algorithms such as ...