Question

Question 2 2A. Define Reynolds number. 2B. What is the range of Reynolds number where the Darcy's Law is applicable? 2C. How should you ensure you are in the valid range of Reynolds number to apply the Darcy's Law correctly? 2D. Consider a porous medium with the following rock properties • Porosity, Ø = 20% • Permeability, k = 200 mD The fluid being injected into the medium at a Darcian velocity, u = 5 cm/s, has the following properties • Fluid Density, p = 0.8 g/cm3 • Fluid viscosity, u = 2 CP Based on the information provided, find if the Darcy's Law is valid for this flow system. If yes, why? If not, why not?

Answer 1

*уроам numbin :- Rиynotds numb афind the ax podctodunity timer valo ity tength time divided by the coicint Thie aLatio o propostionat to in eti at and ce vikoe otce otces otesistont and chang to and O- inurtialpoe Re totce vikco o Poropentiek ipopetick and Dахye tau equation that an parouk thnagh dercsribek a eny m elated y Cwar Law medium.The On epeniment otetutt baked On Land bedk th-Ough Cwater odnete baLik -the oming laminar valicd law Sed imentk .

dimenkion of gedimente the are intor stice thuu gmall and Lamina ptow Coan m Lediments aleo buhave but in vy Coan ainea edddmentA the Бe turbulent таy Jiene law Dar valid in hot Auch Lediment k. ow thoh Foo cclla commercial Reynot dt Laminan Pipex the when than 2000 and twbul ent number when C৮ mate ooo but -than in Lome it hae bedim ent been ound -that ৬ lamina when Value the Reynotas number оф than ter you that aste en cuete Can numb n Reynold to Volid stange cosMEty ate Рarays lau method Concep tual model& diпpe stond and two There are thus to -plan day Pyaа lau and used to mumb uu : the xptote

Flow tub FLow oectuAuay ph exe atound n nder 2) TurbuleneU Specipidirchang 3) ч) Avewage мераде veto ety 2D) with the medium pочоu potopertiek 20/ 200 mD pmeasiuity the njeced into being The vee catay Darcian medium at propынеs poRO wing tht hak e uiddinkity vescosity 2cp ( Re) numb . P Spidncha (S) 200

o.e) (20) (tu00) Res the mote Реyром м numbe 4oo o Lamina then than -the Longe but no inear porouk medium Junee linear Lau tongappie