1Two phase flow model IMPES scheme with vertical producer and

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1Two phase flow model IMPES scheme with vertical producer and aquifer without gravity ( ) ?+??= = PKSMSMV Vdiv owT T )()1( 0)( ( ) 0)( =+∂ Tot VSfdivS ? oSS = )1()( )()( SMSM SMSf wo o o ?+ =

  • input saturation

  • without gravity

  • flow model

  • well index

  • aquifer without

  • vertical well

  • saturation equation


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Two phase flow model IMPES scheme with vertical producer and aquifer without gravity
( )=0 VT= −Mwd(i1vSVT)+Mo(S)KP
φtS+div fo(S)VT
=0
  
S=So
S fo(S)=Mo(S)M+o(Mw1)(S)
 

1
Monotonous flux for the saturation equation without gravity
φtS+div
fo(S)VT
=0
S=So
κφ(Sκn+1ΔtSκn)+σ=κκ'κFont(Sκn,Sκn',VT,tniκκ')=0 ∂ ∩ Σi
Fo(uκ,uκ',V)=fo(uκ)V++fo(uκ')V
2