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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