Horz Wells Inflow Perfm

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    Well Inflow Performance

    HORIZONTAL WELLS

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    INFLOW PERFORMANCE IN HORIZONTAL WELLS

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    APLICATION OF HORIZONTAL WELLS

    EXPLOITATION OF THIN GAS AND OIL SANDS

    REDUCE WATER OR GAS CONING

    INTERCEPT NATURAL FRACTURES

    IMPROVE HEAVY OIL RECOVERY (EG. SAGD)

    Kv>>>Kh

    INCREASE SWEEP EFFICIENCY IN SECONDARY OILRECOVERY PROJECTS

    CONECT DISCONTINUOUS ZONES

    DRILL GEOLOGICALLY OPTIMIZED WELLS

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    METHODS TO DETETRMINE IPR IN HORIZONTAL WELLS

    M !h"# !$% & M' "&

    *'+$ 'v G$,"+-R"$ -J' + / J' h$ R"/ + -D 0 1 * 2 U/3"+$% & S$# & !$'/

    E#0$+$% & C'++"& !$'/

    *"/ 4h&$ 1 A5$5 F"!4'v$%h Ch"/,

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    Drainage Area of a Horizontal WellMETHOD 1 ( OSHI!

    A) L'/,$! $/ & V$"6

    Lh

    4v

    4h

    2

    72

    L

    *) P& /! V$"6

    A""#$%tion& T'e rainagearea i" re%re"ente )* t+o

    'alf ,ir,le" in ea,' en oft'e 'orizontal "e,tion +'i,' ra i#" i" )(e-#i.alent to t'e ra i#" ofa .erti,al +ell/ r e. ! %l#" are,tangle +it' i$en"ion"L0 )2

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    6

    2

    72

    L

    P& /! V$"6

    A& Drainage area/ A,re"L& Lengt' of Horizontal "e,tion/ feet

    )& 'alf $inor a0e of an elli%"e/ feet

    A1 = b 2/2 A3 = b 2/2A2 = L (2b)

    Drainage Area of a Horizontal WellMETHOD 1 ( OSHI!

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    A& Drainage Area/ A,re"L& Lengt' of Horizontal "e,tion/ feet

    )& Half $inor a0e of an elli%"e/ feet

    A& Half $a3or a0e of an elli%"e/ feet

    ) 4 r e. 4 rainage ra i#" of a .erti,al +ell/ feet

    P& /! V$"6

    L

    b

    a b

    Drainage Area of a Horizontal WellMETHOD ( OSHI!

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    Drainage Area Co$%ari"on )et+een )ot' Met'o "

    Both methods give different results forthe drainage area, therefore, Joshisuggests to take an average of both

    values.

    2

    72

    L

    L

    b

    a

    (1) (2)

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    E567ALENT DRAINA8E RADI6S FOR A HORIZONTAL WELL

    A& Drainage Area/ A,re"

    r eh : Horizontal rainage ra i#"/ feet

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    E!am"le

    A 48#$acre lea%e &% 'o (e )e*elo"e) (+ ,%&n- .2 *er'&cal well%/ A%%,m&n- '0a' eac*er'&cal well wo,l) effec'&*el+ )ra&n 4# acre%1 calc,la'e '0e "o%%&(le n,m(er of e&'0.1###$ or 21###$f'$lon- 0or& on'al well% '0a' w&ll )ra&n '0e lea%e effec'&*el+/

    .#

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    IPR in Horizontal +ell"OSHI

    DRAINAGE PATTERN OF AHORIZONTAL WELL AFTER JOSHI

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    A #0!$'/ 8 S!" 1 F&'6 / I '!+'0$% R" "+v'$+ ( ( )

    Wh"+"

    /

    IPR in Horizontal +ell"OSHI

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    T' ! 4" $/!' %%' /! !h" +" "+v'$+ A/$ '!+'01

    6h"+"

    /

    IPR in Horizontal +ell"OSHI

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    9A96:ODEH METHOD

    Problem was analy ed in the same way as a verti!al well with "artial "enetration,assuming "seudosteady state flow.

    ( ) ( )

    ( ) ( ) R H w yoo z y x

    h

    S C r h L

    Bk k L PI

    ++=

    75.0lnln

    00708.0 J

    h

    C H #ha"e fa!tor whi!h de"ends on the "osition of the well in the reservoir

    S R #kin fa!tor due to "artial "enetration

    IPR in Horizontal +ell"

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    C'++"& !$'/ 9'+ C H % &% & !$'/

    ( )

    088.1ln5.0180sinln

    3

    128.6ln

    2

    +=

    y

    z ywo

    y

    w

    y

    w

    y

    z y H

    k k

    h

    L

    h z

    L

    y

    L

    y

    k

    k

    h

    LC

    9A96:ODEH METHOD

    IPR in Horizontal +ell"

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    E0er,i"e

    A horizontal well with 2000 feet of horizontalsection drains an estimated area of 120 AcresThe resevoir has the following data:

    Calculate the oil production using Joshismethod

    sol

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    F'+# !$'/ # ," $/ h'+$5'/! & 6"&&(E%'/'#$ " )

    I ani

    ( ) s k

    k I ar

    ar

    eq

    s ani

    H

    vw

    H

    vw

    =

    +

    + +

    ln

    ,max ,max11

    43

    12

    2$ .

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    E#0$+$% & C'++"& !$'/

    *"/ 4h&$ 1 A5$5 F"!4'v$%h Ch"/,

    IPR in Horizontal +ell"

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    : P69 P69 ; < = V ( ) - (

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    : ' ; C(P+ 7 = P69 7) /

    FET;O7ICH

    IPR in Horizontal +ell"

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    CHEN8

    (Pr$Pb)

    IPR in Horizontal +ell"

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    Performance Im"ro*emen' ac'or PI

    h

    v

    vert

    hor

    vert

    hor

    k

    k

    L

    L

    PI

    PI PIF =

    where%

    PI Productivity Index

    Lh'+ Net pay zone of horizontal sectionLv"+! Net pay zone of vertical sectionKv Vertical PermeabilityKh Horizontal Permeability