Threshold Pressure in Non-Darcian Flow Derived from the Langevin Equation and Fluctuation Dissipation Theorem: Generalized Darcy’s Law

[1]  D. Standnes,et al.  Thermally Induced Pressure Fluctuations in Single-Phase Fluid-Saturated Porous Media Described by the Fluctuation Dissipation Theorem , 2022, Transport in Porous Media.

[2]  D. Standnes A phenomenological description of the transient single-phase pore velocity period using the resistance force-velocity relationship , 2022, Advances in Geo-Energy Research.

[3]  M. Blunt,et al.  Red noise in steady-state multiphase flow , 2021 .

[4]  D. Standnes Derivation of the Conventional and a Generalized Form of Darcy’s Law from the Langevin Equation , 2021, Transport in Porous Media.

[5]  E. Flekkøy,et al.  Burst Dynamics, Upscaling and Dissipation of Slow Drainage in Porous Media , 2021, Frontiers in Physics.

[6]  D. Standnes Dissipation Mechanisms for Fluids and Objects in Relative Motion Described by the Navier–Stokes Equation , 2021, ACS omega.

[7]  R. Armstrong,et al.  The Origin of Non-thermal Fluctuations in Multiphase Flow in Porous Media , 2021, Frontiers in Water.

[8]  J. McClure,et al.  Thermodynamics of fluctuations based on time-and-space averages. , 2020, Physical review. E.

[9]  E. Flekkøy,et al.  Intermittent Dynamics of Slow Drainage Experiments in Porous Media: Characterization Under Different Boundary Conditions , 2020, Frontiers in Physics.

[10]  D. Bedeaux,et al.  Onsager-Symmetry Obeyed in Athermal Mesoscopic Systems: Two-Phase Flow in Porous Media , 2020, Frontiers in Physics.

[11]  M. Andrew,et al.  Using Nano-XRM and High-Contrast Imaging to Inform Micro-Porosity Permeability During Stokes–Brinkman Single and Two-Phase Flow Simulations on Micro-CT Images , 2019, Frontiers in Water.

[12]  D. Bedeaux,et al.  Non-isothermal Transport of Multi-phase Fluids in Porous Media. Constitutive Equations , 2018, Front. Phys..

[13]  D. Standnes Implications of Molecular Thermal Fluctuations on Fluid Flow in Porous Media and Its Relevance to Absolute Permeability , 2018, Energy & Fuels.

[14]  W. House,et al.  Pre-Darcy flow revisited under experimental investigation , 2015, Journal of Analytical Science and Technology.

[15]  D. Or,et al.  Characteristics of acoustic emissions induced by fluid front displacement in porous media , 2012 .

[16]  D. Or,et al.  Interfacial jumps and pressure bursts during fluid displacement in interacting irregular capillaries. , 2012, Journal of colloid and interface science.

[17]  L. Klinkenberg The Permeability Of Porous Media To Liquids And Gases , 2012 .

[18]  A. Einstein Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen [AdP 17, 549 (1905)] , 2005, Annalen der Physik.

[19]  Paul Grassia,et al.  Dissipation, fluctuations and conservation laws , 2001 .

[20]  S. Whitaker The Forchheimer equation: A theoretical development , 1996 .

[21]  Alkiviades C. Payatakes,et al.  Flow regimes and relative permeabilities during steady-state two-phase flow in porous media , 1995, Journal of Fluid Mechanics.

[22]  Douglas Ruth,et al.  On the derivation of the Forchheimer equation by means of the averaging theorem , 1992 .

[23]  D. Gillespie Markov Processes: An Introduction for Physical Scientists , 1991 .

[24]  William G. Gray,et al.  High velocity flow in porous media , 1987 .

[25]  G. Ross,et al.  RELATIONSHIPS OF SPECIFIC SURFACE AREA AND CLAY CONTENT TO SHRINK-SWELL POTENTIAL OF SOILS HAVING DIFFERENT CLAY MINERALOGICAL COMPOSITIONS , 1978 .

[26]  J. Bear Dynamics of Fluids in Porous Media , 1975 .

[27]  G. Bolt,et al.  COUPLING PHENOMENA AS A POSSIBLE CAUSE OF “NON-DARCIAN” BEHAVIOUR OF WATER IN SOIL , 1969 .

[28]  R. Zwanzig,et al.  Time-Correlation Functions and Transport Coefficients in Statistical Mechanics , 1965 .

[29]  H. Callen,et al.  Irreversibility and Generalized Noise , 1951 .

[30]  H. Nyquist Thermal Agitation of Electric Charge in Conductors , 1928 .

[31]  J. Johnson Thermal Agitation of Electricity in Conductors , 1927, Nature.

[32]  R. Brown XXVII. A brief account of microscopical observations made in the months of June, July and August 1827, on the particles contained in the pollen of plants; and on the general existence of active molecules in organic and inorganic bodies , 1828 .

[33]  R. Armstrong,et al.  The fate of oil clusters during fractional flow: trajectories in the saturation-capillary number space , 2015 .

[34]  L. Beda Thermal physics , 1994 .

[35]  W. E. Kenyon,et al.  Surface-to-volume ratio, charge density, nuclear magnetic relaxation, and permeability in clay-bearing sandstones , 1990 .

[36]  R. Mazo On the theory of brownian motion , 1973 .

[37]  R. Kubo The fluctuation-dissipation theorem , 1966 .

[38]  D. Swartzendruber Soil-Water Behavior as Described by Transport Coefficients and Functions , 1966 .

[39]  Isaak M. Khalatnikov,et al.  An introduction to the theory of superfluidity , 1965 .