8/9/2019 The Effects of Non-Darcy Flow on the Behavior Of Hydraulically Fractured Gas Wells

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The Effects of Non-Darcy Flow on the Behavior Of Hydraulically Fractured Gas WellsS. . Ho!ditch" S#E- $%E" Te&as '% (.). . %orse" S#E- *%E" Te&as '% (.

Introduction

+a,inar flow of fluid throu h orous ,edia can /e de-scri/ed usin Darcy!s law0

l AL = ,uvlk. ............................................................. 1*2

This e3uation indicates that if the resistance 4a562re,ains constant" the ressure radient 1 5 +2 is

ro ortional to the veloci ty of the flu id 1v2 . However"when the velocity is increased such that the flow is notla,inar" the ressure dro will increase ,ore than the

r o or tion al increase in velocity.

Fancher et al.' reco ni7ed this /ehavior and u/lisheda a er in *899 that ave an analo y /etween the flow of

f lu ids th rou h orous , ed ia and the f low of f lu idsthrou h i e. Several authors" includin Brownell and:at7 ; and Te6 " 9 have since u/lished ,ethods for re-dictin the la,inar and tur/ulent re ions of flow in o-rous ,edia /ased on correlations si,ilar to the )eynoldsnu,/er for flow in i e.

The eneral i7ed e3uat ion for f low throu h orous,edia ,ay /e re resented /y the followin e3uationsu ested /y Forchhei,er.