Darcy’s LawA Presentation on the History, Derivation, and Application to Petrophysics of Darcy’s Law

By: Peyton Johnigan and Sam Shook

Overview• Biography of Henry Darcy• Explanation of Darcy’s Law• Derivation of Darcy’s Law• Applications of Darcy’s Law

Henry Darcy: The Early Years

Henry Darcy: Professional Career

Henry Darcy: Darcy’s Law

𝑣=−𝑘𝑚

𝑑𝑝𝑑𝑥

What is Darcy’s Law?

Uses for Darcy’s Law

Physics Behind Darcy’s Law

• Porosity• Permeability

Porosity-The fraction of the bulk volume of the reservoir that is not occupied by the solid framework of the reservoir.

𝜙=𝑉 𝑏−𝑉 𝑔𝑟

𝑉 𝑏

𝜙= porosity= bulk volume of the reservoir= grain volume

Permeability-A measure of the ability of a porous material (often, a rock or unconsolidated material) to allow fluids to pass through it.

𝑘=𝑞 µ𝐿𝐴𝑐 𝛥𝑃

q= volume flow rateL=length of core sampleA=areaP= pressure changeµ=viscosity of the fluid