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Nonlinear and non-stationary processes are prevalent in various natural and physical phenomena, where system dynamics can change qualitatively due to bifurcation phenomena. Traditional machine learning methods have advanced our ability to…

Machine Learning · Statistics 2024-06-21 Keita Tokuda , Yuichi Katori

In this paper, we present an experimental investigation of the turbulent saturation of the flow driven by parametric resonance of inertial waves in a rotating fluid. In our set-up, a half-meter wide ellipsoid filled with water is brought to…

Fluid Dynamics · Physics 2021-01-26 Thomas Le Reun , Benjamin Favier , Michael Le Bars

Elastic geophysical properties (such as P- and S-wave velocities) are of great importance to various subsurface applications like CO$_2$ sequestration and energy exploration (e.g., hydrogen and geothermal). Elastic full waveform inversion…

Water saturation is an important property in reservoir engineering domain. Thus, satisfactory classification of water saturation from seismic attributes is beneficial for reservoir characterization. However, diverse and non-linear nature of…

Machine Learning · Computer Science 2016-12-06 Soumi Chaki , Akhilesh Kumar Verma , Aurobinda Routray , William K. Mohanty , Mamata Jenamani

Highly compacted sand-bentonite mixtures are often considered as possible engineered barriers in deep high-level radioactive waste disposals. In-situ, the saturation of these barriers from their initially unsaturated state is a complex…

Geophysics · Physics 2008-12-02 Yu-Jun Cui , Anh-Minh Tang , Cyril Loiseau , Pierre Delage

Sediment transport along the surface drives geophysical phenomena as diverse as wind erosion and dune formation. The main length-scale controlling the dynamics of sediment erosion and deposition is the saturation length $L_\mathrm{s}$,…

Soft Condensed Matter · Physics 2015-08-19 Thomas Pähtz , Jasper F. Kok , Eric J. R. Parteli , Hans J. Herrmann

Reservoir computing is a neuromorphic architecture that potentially offers viable solutions to the growing energy costs of machine learning. In software-based machine learning, neural network properties and performance can be readily…

Stochastic Spatio-Temporal processes are prevalent across domains ranging from modeling of plasma to the turbulence in fluids to the wave function of quantum systems. This letter studies a measure-theoretic description of such systems by…

Optimization and Control · Mathematics 2021-05-25 George I. Boutselis , Ethan N. Evans , Marcus A. Pereira , Evangelos A. Theodorou

Geoelectrical techniques are widely used to monitor groundwater processes, while surprisingly few studies have considered audio (AMT) and radio (RMT) magnetotellurics for such purposes. In this numerical investigation, we analyze to what…

Geophysics · Physics 2017-01-11 M. Rosas Carbajal , N. Linde , T. Kalscheuer

We consider the efficiency of turbulence, a dimensionless parameter that characterises the fraction of the input energy stored into a turbulent flow field. We first show that the inverse of the efficiency provides an upper bound for the…

Fluid Dynamics · Physics 2025-08-11 A Lopez , A Barral , G Costa , Q Pikeroen , V Shukla , Bérengère Dubrulle

Fluids confined in nanopores are ubiquitous in nature and technology. In recent years, the interest in confined fluids has grown, driven by research on unconventional hydrocarbon resources -- shale gas and shale oil, much of which are…

Soft Condensed Matter · Physics 2021-11-16 C. D. Dobrzanski , B. Gurevich , G. Y. Gor

Radiography is often used to probe complex, evolving density fields in dynamic systems and in so doing gain insight into the underlying physics. This technique has been used in numerous fields including materials science, shock physics,…

Large scale modelling of fluid flow coupled with solid failure in geothermal reservoirs or hydrocarbon extraction from reservoir rocks usually involves behaviours at two scales: lower scale of the inelastic localization zone, and larger…

Soft Condensed Matter · Physics 2014-06-06 Giang D. Nguyen , Abbas El-Zein , Terry Bennett

Carbon capture and storage (CCS) plays a crucial role in mitigating greenhouse gas emissions, particularly from industrial outputs. Using seismic monitoring can aid in an accurate and robust monitoring system to ensure the effectiveness of…

Geophysics · Physics 2025-04-01 Xinquan Huang , Fu Wang , Tariq Alkhalifah

Carbon, capture, and storage (CCS) is an important bridging technology to combat climate change in the transition towards net-zero. The FluidFlower concept has been developed to visualize and study CO$_2$ flow and storage mechanisms in…

Complex dynamical systems-such as climate, ecosystems, and economics-can undergo catastrophic and potentially irreversible regime changes, often triggered by environmental parameter drift and stochastic disturbances. These critical…

Machine Learning · Computer Science 2026-03-17 Xin Li , Qunxi Zhu , Chengli Zhao , Bolin Zhao , Xue Zhang , Xiaojun Duan , Wei Lin

The study of phase transitions using data-driven approaches is challenging, especially when little prior knowledge of the system is available. Topological data analysis is an emerging framework for characterizing the shape of data and has…

Statistical Mechanics · Physics 2021-05-26 Quoc Hoan Tran , Mark Chen , Yoshihiko Hasegawa

Changing the microstructure properties of a space-time metamaterial while a wave is propagating through it, in general requires addition or removal of energy, which can be of exponential form depending on the type of modulation. This limits…

Classical Physics · Physics 2022-08-10 Kshiteej J. Deshmukh , Graeme W. Milton

Understanding the migration and trapping of CO$_2$ in the subsurface is vital to geologic carbon storage projects. Traditional characterization methods employ steady-state co-injection experiments to determine relative permeability and…

High-speed boundary-layer transition is extremely sensitive to the free-stream disturbances which are often uncertain. This uncertainty compromises predictions of models and simulations. To enhance the fidelity of simulations, we directly…

Fluid Dynamics · Physics 2021-04-28 David A. Buchta , Tamer A. Zaki