Henry Darcy and the making of a law

Brown, Glenn O.

doi:10.1029/2001wr000727

Cited by 122 publications

(85 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…This work includes new reviews of their career contributions [Brown, 2002[Brown, , 2004[Brown, , 2003Gisonni, 2003;Rat, 2003;Hager, 2004;Simmons, 2007], a new perspective on the discovery of Darcy's law [Brown 2002], and the complete English translation of Darcy [1856] by Bobeck [2004]. From this collective work, the paradigm for the history of quantitative hydrogeology shifts.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Defining parameters of apertures moulding in the uncured woven composite using the technique of puncturing with the pointed indentor

Комков¹,

Болотин²,

Vasil'eva³

2017

EJSI

View full text Add to dashboard Cite

[1] Henry Darcy and Jules Dupuit were born 1 year apart, were classmates during their undergraduate and graduate education in civil engineering, and were colleagues in the French corps of civil engineers, with overlapping appointments as inspector general in the early 1850s. At that time Darcy turned over, to Dupuit, his position as Director of Water and Bridges in Paris and the research on pipe flow he had begun there in 1849. In these pipe flow experiments, Darcy discovered what he referred to as a ''law'' of fluid mechanics, which is that above a certain velocity threshold, the head loss is proportional to velocity squared, and below that threshold, the head loss is linearly proportional to velocity. During the remainder of their careers, Darcy and Dupuit applied this law with their collective, extensive, prior knowledge of fluid mechanics, geology, aquifers, wells, and springs to quantitative studies of fluid flow in the subsurface (and also in pipes, aqueducts, rivers, and sand filters). Two monographs by Darcy (1856) and Dupuit (1857) are mutually cited retrospectives on much of this research, submitted at nearly the same time, to the same Corps des Ponts et Chaussées publisher, near the end of their careers. Between these two monographs, many of the fundamentals of quantitative hydrogeology were established, including the equation for groundwater motion, average linear velocity, average travel time, effective hydraulic conductivity for layered heterogeneity, conservation of mass in confined and unconfined flow, the nature of the regional pieziometric surface, porous flow versus flow through discrete fractures and karst conduits, the equation for a cone of depression around flowing wells, superposition of the effects of multiple wells, and capture zone geometries of wells within a regional flow field.

show abstract

Section: Introductionmentioning

confidence: 99%

“…Their schooling included the very best of education in fluid mechanics, from instructors including Navier, Cauchy, Coriolis, Barre de Saint-Venant, and de Prony [Rouse and Ince, 1957;Freeze, 1994;Phillip, 1995;Brown, 2002Brown, , 2003Hager, 2004].…”

Section: Introductionmentioning

confidence: 99%

Defining parameters of apertures moulding in the uncured woven composite using the technique of puncturing with the pointed indentor

Комков¹,

Болотин²,

Vasil'eva³

2017

EJSI

View full text Add to dashboard Cite

show abstract

“…19 Darcy's law can describe the laminar viscous flow of one or more phases in a porous matrix, when the rate of the flow is proportional to the pressure gradient. This law for incompressible fluids reads 20 where Q is the volume flow rate, A is the area of porous media normal to the flow, K is the hydraulic conductivity (permeability), h is the pressure head (pressure divided by the specific weight), z is the elevation, and L is the length of the flow path. Subscripts 1 and 2 designate the up and downstream positions, respectively.…”

Section: Introductionmentioning

confidence: 99%

A kinetic Monte Carlo approach to study fluid transport in pore networks

Apostolopoulou

Day

Hull

et al. 2017

The Journal of Chemical Physics

View full text Add to dashboard Cite

The mechanism of fluid migration in porous networks continues to attract great interest. Darcy's law (phenomenological continuum theory), which is often used to describe macroscopically fluid flow through a porous material, is thought to fail in nano-channels. Transport through heterogeneous and anisotropic systems, characterized by a broad distribution of pores, occurs via a contribution of different transport mechanisms, all of which need to be accounted for. The situation is likely more complicated when immiscible fluid mixtures are present. To generalize the study of fluid transport through a porous network, we developed a stochastic kinetic Monte Carlo (KMC) model. In our lattice model, the pore network is represented as a set of connected finite volumes (voxels), and transport is simulated as a random walk of molecules, which "hop" from voxel to voxel. We simulated fluid transport along an effectively 1D pore and we compared the results to those expected by solving analytically the diffusion equation. The KMC model was then implemented to quantify the transport of methane through hydrated micropores, in which case atomistic molecular dynamic simulation results were reproduced. The model was then used to study flow through pore networks, where it was able to quantify the effect of the pore length and the effect of the network's connectivity. The results are consistent with experiments but also provide additional physical insights. Extension of the model will be useful to better understand fluid transport in shale rocks.

show abstract

“…As introduced in the previous paragraph, in order to ensure Darcian flow through the megaporous rock, the Reynolds number defined below has to be kept low (Re < 1) (Brinkman, 1949;Brown, 2002). These sources also state that experimental tests show that Re numbers up to 10 may still be Darcian, but for this research, to ensure laminar, steady-state flow, the Re number was kept well below 1.…”

Section: Megaporous Rock Modeling Challengesmentioning

confidence: 99%

“…Q is the volume flow rate, A is the cross-sectional area of porous medium normal to the flow, K is the hydraulic conductivity, Δh is the change in hydraulic head, and L is the length of the flow path (Darcy, 1856;Brown, 2002). Darcy velocity q, was defined by dividing both sides of equation (17) by A and obtaining the following,…”

Section: Laminar Flow Theory: Pipementioning

confidence: 99%

Lattice Boltzmann Modeling and Specialized Laboratory Techniques to Determine the Permeability of Megaporous Karst Rock

Garcia¹

View full text Add to dashboard Cite

Standard petrophysical laboratory techniques may not be capable of accurately measuring such high permeabilities. Instead, innovative procedures that can measure high permeabilities were applied. These fragile rocks cannot easily be cored or cut to shapes convenient for conducting permeability measurements. For the laboratory measurement, a 3D epoxy-resin printed rock core was produced from computed tomography data obtained from an outcrop sample. Permeability measurements were conducted using a viscous fluid to permit easily observable head gradients (~2 cm over 1 m) simultaneously with low Reynolds number flow. For a second permeability measurement, Lattice Boltzmann Method flow simulations were computed on the 3D core renderings.

show abstract

Henry Darcy and the making of a law

Cited by 122 publications

References 9 publications

Defining parameters of apertures moulding in the uncured woven composite using the technique of puncturing with the pointed indentor

Defining parameters of apertures moulding in the uncured woven composite using the technique of puncturing with the pointed indentor

A kinetic Monte Carlo approach to study fluid transport in pore networks

Lattice Boltzmann Modeling and Specialized Laboratory Techniques to Determine the Permeability of Megaporous Karst Rock

Contact Info

Product

Resources

About