Articles | Volume 10, issue 1
https://doi.org/10.5194/hess-10-93-2006
© Author(s) 2006. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
https://doi.org/10.5194/hess-10-93-2006
© Author(s) 2006. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
Experimental and theoretical memory diffusion of water in sand
G. Iaffaldano
now at: Geophysics Section, Ludwig-Maximilians University, Munich, Germany
Department of Physics, University “La Sapienza", Rome, Italy
M. Caputo
Department of Geology and Geophysics, Texas A&M University, College Station, Texas
Department of Physics, University “La Sapienza", Rome, Italy
S. Martino
Department of Earth Sciences, University “La Sapienza", Rome, Italy
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Cited
46 citations as recorded by crossref.
- Thermomagnetic behavior of a nonlocal finite elastic rod heated by a moving heat source via a fractional derivative heat equation with a non-singular kernel A. Abouelregal
- A memory model of sedimentation in water reservoirs M. Caputo & J. Carcione
- ОБЗОР МОДЕЛИ СТОКСА-ДАРСИ
- Memory Effect in Chemotaxis Equation L. Meitei et al.
- Memory and relaxation time of biological systems. an analysis of the effect of abortion legalization in italy M. Caputo & F. Gloria-Bottini
- Semilinear subdiffusion with memory in multidimensional domains M. Krasnoschok et al.
- New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization T. Saeed et al.
- The generalization of Hermite-Hadamard type Inequality with exp-convexity involving non-singular fractional operator M. Asjad et al.
- Analysis of subdiffusion in disordered and fractured media using a Grünwald-Letnikov fractional calculus model A. Obembe et al.
- Modelling of fluid flow through porous media using memory approach: A review M. Hashan et al.
- Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization S. Wu et al.
- Derivation of conticrete Hermite-Hadamard-Jensen-Mercer inequalities through k-Caputo fractional derivatives and majorization M. Khan & S. Faisal
- Semilinear subdiffusion with memory in the one-dimensional case M. Krasnoschok et al.
- Novel Mean-Type Inequalities via Generalized Riemann-Type Fractional Integral for Composite Convex Functions: Some Special Examples M. Mukhtar et al.
- Theory and simulation of time-fractional fluid diffusion in porous media J. Carcione et al.
- Effect of fractional interporosity flow on elastic waves propagation through a fluid-saturated double-porosity interlayer Y. Kang et al.
- Numerical approach of Fokker–Planck equation with Caputo–Fabrizio fractional derivative using Ritz approximation M. Firoozjaee et al.
- Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account T. Feng et al.
- A version of Hermite-Hadamard-Mercer inequality and associated results Z. Zhang et al.
- Fractional derivatives in the diffusion process in heterogeneous systems: The case of transdermal patches M. Caputo & C. Cametti
- Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag–Leffler kernel by finite difference and local discontinuous Galerkin methods S. Fouladi & M. Dahaghin
- Fractional integral inequalities for $ h $-convex functions via Caputo-Fabrizio operator L. Chen et al.
- Approximate analytical solution of coupled fractional order reaction-advection-diffusion equations P. Pandey et al.
- Assessment of Radionuclide Contamination in Foreshore Sands of the Baltic Sea near Juodkrante in Lithuania A. Jukna & G. Grigaliūnaitė-Vonsevičienė
- Modeling Extreme-Event Precursors with the Fractional Diffusion Equation M. Caputo et al.
- Fractional derivatives and their applications in reservoir engineering problems: A review A. Obembe et al.
- Lattice Boltzmann method for tempered time-fractional diffusion equation J. Ren et al.
- Time-fractional particle deposition in porous media J. Xu
- Time and spatial concentration profile inside a membrane by means of a memory formalism M. Caputo et al.
- On Fractional Integral Inequalities of Riemann Type for Composite Convex Functions and Applications M. Vivas-Cortez et al.
- A modified memory-based mathematical model describing fluid flow in porous media A. Obembe et al.
- Numerical schemes for anomalous diffusion of single-phase fluids in porous media A. Awotunde et al.
- Fractionalization of Forchheimer’s correction to Darcy’s law in porous media in large deformations S. Gunda et al.
- Error Bounds for Fractional Integral Inequalities with Applications N. Alqahtani et al.
- Lattice Boltzmann model for incompressible flows through porous media with time-fractional effects J. Ren & H. Lei
- An improved lattice Boltzmann model for variable-order time-fractional generalized Navier-Stokes equations with applications to permeability prediction J. Ren et al.
- A memory effect model to predict COVID-19: analysis and simulation A. Ali et al.
- Primary and Superharmonic Simultaneous Resonance of Fractional-Order Rayleigh-Duffing Oscillator J. Chen et al.
- Hyers–Ulam stability and existence of solutions for fractional differential equations with Mittag–Leffler kernel K. Liu et al.
- A Review of Modeling Thermal Displacement Processes in Porous Media A. Obembe et al.
- Role of Porosity on Energy Transport with Equal Rock-Fluid Temperatures During Thermal EOR Process M. Hossain
- Flux in Porous Media with Memory: Models and Experiments E. Di Giuseppe et al.
- Dimensionless Scaling Parameters During Thermal Flooding Process in Porous Media M. Enamul Hossain
- A Novel Formulation of the Fractional Derivative with the Order α≥0 and without the Singular Kernel H. Jassim & M. Hussein
- Numerical Investigation of Memory-Based Diffusivity Equation: The Integro-Differential Equation M. Hossain
- On Caputo–Fabrizio Fractional Integral Inequalities of Hermite–Hadamard Type for Modified h -Convex Functions X. Wang et al.
46 citations as recorded by crossref.
- Thermomagnetic behavior of a nonlocal finite elastic rod heated by a moving heat source via a fractional derivative heat equation with a non-singular kernel A. Abouelregal
- A memory model of sedimentation in water reservoirs M. Caputo & J. Carcione
- ОБЗОР МОДЕЛИ СТОКСА-ДАРСИ
- Memory Effect in Chemotaxis Equation L. Meitei et al.
- Memory and relaxation time of biological systems. an analysis of the effect of abortion legalization in italy M. Caputo & F. Gloria-Bottini
- Semilinear subdiffusion with memory in multidimensional domains M. Krasnoschok et al.
- New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization T. Saeed et al.
- The generalization of Hermite-Hadamard type Inequality with exp-convexity involving non-singular fractional operator M. Asjad et al.
- Analysis of subdiffusion in disordered and fractured media using a Grünwald-Letnikov fractional calculus model A. Obembe et al.
- Modelling of fluid flow through porous media using memory approach: A review M. Hashan et al.
- Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization S. Wu et al.
- Derivation of conticrete Hermite-Hadamard-Jensen-Mercer inequalities through k-Caputo fractional derivatives and majorization M. Khan & S. Faisal
- Semilinear subdiffusion with memory in the one-dimensional case M. Krasnoschok et al.
- Novel Mean-Type Inequalities via Generalized Riemann-Type Fractional Integral for Composite Convex Functions: Some Special Examples M. Mukhtar et al.
- Theory and simulation of time-fractional fluid diffusion in porous media J. Carcione et al.
- Effect of fractional interporosity flow on elastic waves propagation through a fluid-saturated double-porosity interlayer Y. Kang et al.
- Numerical approach of Fokker–Planck equation with Caputo–Fabrizio fractional derivative using Ritz approximation M. Firoozjaee et al.
- Revisiting the Consolidation Model by Taking the Rheological Characteristic and Abnormal Diffusion Process into Account T. Feng et al.
- A version of Hermite-Hadamard-Mercer inequality and associated results Z. Zhang et al.
- Fractional derivatives in the diffusion process in heterogeneous systems: The case of transdermal patches M. Caputo & C. Cametti
- Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag–Leffler kernel by finite difference and local discontinuous Galerkin methods S. Fouladi & M. Dahaghin
- Fractional integral inequalities for $ h $-convex functions via Caputo-Fabrizio operator L. Chen et al.
- Approximate analytical solution of coupled fractional order reaction-advection-diffusion equations P. Pandey et al.
- Assessment of Radionuclide Contamination in Foreshore Sands of the Baltic Sea near Juodkrante in Lithuania A. Jukna & G. Grigaliūnaitė-Vonsevičienė
- Modeling Extreme-Event Precursors with the Fractional Diffusion Equation M. Caputo et al.
- Fractional derivatives and their applications in reservoir engineering problems: A review A. Obembe et al.
- Lattice Boltzmann method for tempered time-fractional diffusion equation J. Ren et al.
- Time-fractional particle deposition in porous media J. Xu
- Time and spatial concentration profile inside a membrane by means of a memory formalism M. Caputo et al.
- On Fractional Integral Inequalities of Riemann Type for Composite Convex Functions and Applications M. Vivas-Cortez et al.
- A modified memory-based mathematical model describing fluid flow in porous media A. Obembe et al.
- Numerical schemes for anomalous diffusion of single-phase fluids in porous media A. Awotunde et al.
- Fractionalization of Forchheimer’s correction to Darcy’s law in porous media in large deformations S. Gunda et al.
- Error Bounds for Fractional Integral Inequalities with Applications N. Alqahtani et al.
- Lattice Boltzmann model for incompressible flows through porous media with time-fractional effects J. Ren & H. Lei
- An improved lattice Boltzmann model for variable-order time-fractional generalized Navier-Stokes equations with applications to permeability prediction J. Ren et al.
- A memory effect model to predict COVID-19: analysis and simulation A. Ali et al.
- Primary and Superharmonic Simultaneous Resonance of Fractional-Order Rayleigh-Duffing Oscillator J. Chen et al.
- Hyers–Ulam stability and existence of solutions for fractional differential equations with Mittag–Leffler kernel K. Liu et al.
- A Review of Modeling Thermal Displacement Processes in Porous Media A. Obembe et al.
- Role of Porosity on Energy Transport with Equal Rock-Fluid Temperatures During Thermal EOR Process M. Hossain
- Flux in Porous Media with Memory: Models and Experiments E. Di Giuseppe et al.
- Dimensionless Scaling Parameters During Thermal Flooding Process in Porous Media M. Enamul Hossain
- A Novel Formulation of the Fractional Derivative with the Order α≥0 and without the Singular Kernel H. Jassim & M. Hussein
- Numerical Investigation of Memory-Based Diffusivity Equation: The Integro-Differential Equation M. Hossain
- On Caputo–Fabrizio Fractional Integral Inequalities of Hermite–Hadamard Type for Modified h -Convex Functions X. Wang et al.
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