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Three-Dimensional Analytical Solution of the Fractional Atmospheric Pollutant Dispersion Equation Considering Caputo and Conformable Derivatives
In this work, two analytical solutions for the 3D steady-state fractional advection–diffusion equation are obtained in order to study the dispersion...
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Exploring the dynamical bifurcation and stability analysis of Nipah virus; novel perspectives utilizing fractional calculus
A zoonotic virus called the Nipah virus (NV) can create deadly illness epidemics in humans. The animal host repository for NV is the fruit bat,...
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Attenuation Compensation and Anisotropy Correction in Reverse Time Migration for Attenuating Tilted Transversely Isotropic Media
The propagation of seismic waves in attenuating and anisotropic earth media is accompanied by amplitude attenuation and phase distortion. If these...
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A nonlinear damage creep model for sandstone based on fractional theory
In this study, an improved viscoelastic model is proposed, which is based on the application of Caputo fractional derivatives of one function in...
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The Qp attenuation structure of the Koyna-Warna region, Maharashtra India, and its correlation to seismicity
In this study, we developed a three-dimensional (3D) (Qp) P-wave attenuation model of the uppermost crust (0–10 km depth) of the Koyna-Warna region...
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Laboratory Testing and Modeling of Creep Deformation for Sandstone Including Initial Temperature Damage
In the exploitation of deep geothermal resources, modeling and predicting deformation of surrounding rock after initial temperature damage is of...
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Characterization of Solute Mixing in Heterogeneous Media by Means of Fractal Dilution Index
Many theoretical and experimental results show that solute mixing in heterogeneous porous media exhibits non-Fickian behaviors, in which the dilution...
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The creep behaviors of red sandstone in northern Yunnan and its fractional order damage modelling considering relaxation time effect
The creep characteristics of rocks pose significant challenges to the construction and operation of tunnels. Triaxial compression tests were...
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Review of the creep constitutive models for rocks and the application of creep analysis in geomechanics
The creep behavior of rocks has been broadly researched because of its extensive application in geomechanics. Since the time-dependent stability of...
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A Study of Uniaxial Acoustic Emission Creep of Salt Rock Based on Improved Fractional-Order Derivative
Aiming at the disadvantage that the traditional creep model cannot describe the nonlinear creep acceleration stage (third-order creep stage) of rock....
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Viscoacoustic One-Way Fourier Finite Difference Propagator Based on Time Fractional Viscoacoustic Wave Equation
The viscoacoustic properties of the subsurface medium can lead to significant loss of amplitude energy and image quality. Conventional depth...
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Green’s Functions and Integral Formulas
An essential tool of our approach to vector and tensor spherical harmonics is the theory of Green’s function on the unit sphere Ω with respect to the...
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Study on shear creep-seepage characteristics of structural plane under pore water pressure
In order to investigate the effect of pore water pressure on the shear creep characteristics of structural plane, we have independently developed an...
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Multi-epoch PPP-RTK corrections: temporal characteristics, pitfalls and user-impact
PPP-RTK corrections, aiding GNSS users to achieve single-receiver integer ambiguity-resolved parameter solutions, are often estimated in a recursive...
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A fractal derivative model to quantify bed-load transport along a heterogeneous sand bed
Bed-load transport is a complex process exhibiting anomalous dynamics, which cannot be efficiently described using the traditional...
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On attenuation of the seismic Rayleigh waves propagating in an elastic crustal layer over viscoelastic mantle
This study investigates the attenuation of the seismic Rayleigh waves propagating in an elastic crustal layer of the Earth over its viscoelastic...
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A Fractional Nonlinear Creep Damage Model for Transversely Isotropic Rock
Transversely isotropic layered rock is widely distributed in nature. To better describe the time-dependent entire creep characteristics for...
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Anisotropic Attenuation Compensated Reverse Time Migration of Pure qP-Wave in Transversely Isotropic Attenuating Media
The absorption (anelastic attenuation) and anisotropy properties of subsurface media jointly affect the seismic wave propagation and the quality of...
