Errata. Fluid Flow and Heat Transfer in Wellbores. By A. Rashid Hasan and C. Shah Kabir. Throughout the book, Blassius should read Blasius.

Transcription

1 Errata Fluid Flow and Heat Transer in Wellbores By A. Rashid Hasan and C. Shah Kabir Throughout the book, Blassius should read Blasius. Chater 1 Page 1, Column 1, 1 lines rom the bottom: A-(d)-dF-A()gρsinθ= should read A-(d)A-dF-A()gρsinθ= Page 1, Column, Equation (1.4): -{d/)(d/) F -gsinθ-(w/a)dv/=0 should read -{d/)(d/) F -gρsinθ-(w/a)dv/=0 Page, Column, 1 lines rom the to: (R<,100) should read (Re<,100) Page 5, Nomenlature: d = ie or well diameter, in. should read d = ie or well diameter, t d,d t = ie or well diameter, in. should read d,d t = ie or well diameter, t F = ore, lbm should read F = ore, lb g = onversion ator, 3.17 lbm-t/lb-s should read g = onversion ator, lbm-t/(lb-se ) T D deinition is not onsistent with Equation (1.16) but is onsistent with Chater 5 deinition v = luid veloity, t/hr should read v = luid veloity, t/se w = mass low rate o luid, lbm/hr should read w = mass low rate o luid, lbm/se η = arameter used in Eq. 1.1 should read η o = arameter used in Eq. 1.1 Chater wl wg ρ LvsL ρ gvsg Page 8, Equation (.5): Gm = = should read A A wl wg Gm = = ρ LvsL ρ gvsg A Page 11, Equation (.6): d d = F φl... should read L

2 d d = F φl... L Page 11, Column 1, 5 lines rom bottom:.4, the term, ρ L v sl, an be should read.6, the term ρ L v sl an be Page 1, Equation (.30): L = 1 g = 1 (1 X 0.8 ) should read L = 1 g = 1 (1 X 0.8 ) Page 1, Column 1, 4 th and 5 th line rom bottom: N s =S(ρ L /gσ) 1/4 should read N s =v s (ρ L /gσ) 1/4 Page 1, Table.1, Under Column titled Parameters, or Region I: L 1 and L are untions o ie diameter number, N d =d(r L g/s) 1/ should read L 1 and L are untions o ie diameter number, N d =d(ρ L g/σ) 1/ Page 1, Column, 4 th line rom to: N L =µ L (g/ρ L S 3 ) 1/4 should read N L =µ L (g/ρ L σ 3 ) 1/4 Page 13, Figure.4, Horizontal axis label: (v Ld /v gd )N L 0.38 /N d.14 ) should read v gd N L 0.38 /N d.14 Page 13, Equation (.39): µ m = µ L l x µ L g should read µ m = µ L L x µ L g Page 13, Column, 18 th line rom to: The Hagedorn and Brown 5 orrelation or liquid holdu is shown in Fig..4 in terms o the orrelating oeiients ψ, C, and various dimensionless numbers. Variation o ψ with the dimensionless number is shown in Fig..5 and that o C with N L in Fig..6. should read The Hagedorn and Brown 5 orrelation or liquid holdu is shown in Fig..6 in terms o the orrelating oeiients ψ, C NL, and various dimensionless numbers. Variation o ψ with the gas veloity number is shown in Fig..4 and that o C NL with N L in Fig..5. Pages 13-15, Examle.1: Hagedorn-Brown Method µ L = should read µ L =

3 C NL =ex{ ln(n L )-0.808[ln(N L ) ] ln(n L ) ln(n L ) 4 }= ex{ ln(0.0594)-0.808[ln(0.0594)] ln(0.0594) ln(0.0594) 4 }= should read C NL =ex{ ln(n L )-0.808[ln(N L )] [ln(n L )] [ln(n L )] 4 }= ex{ ln(0.0594)-0.808[ln(0.0594)] [ln(0.0594)] [ln(0.0594)] 4 }= N = (v Ld /v gd )(/14.65) 0.1 C NL (10 6 /N d ) should read N x 10 6 = (v Ld /v gd )(/14.65) 0.1 C NL (10 6 /N d ) The orrelating equation or L on Page 14, Column : L = ψ{ex(-3.637)0.8813(ln N ) (ln N ) (ln N ) (ln N ) 4 } is not orret. Trials with N equal to 11.4 or yielded inorret results. Use o the alulated N in Fig..6 yields the orret value o µ m = (µ L ) L x µ g g should read µ m = µ L L x µ g g Page 14, Fig..5, Horizontal axis: N should read N L Page 14, Fig..6, Label or igure: Hagedorn-Brown orrelation or / L /ψ should read Hagedorn-Brown orrelation or L /ψ Page 15, Column 1: Re = ρ n v m d/µ m =1,488(8.07)(3.43)(0.5)/(0.388) = 90,04 should read Re = 1,488ρ n v m d/µ m = 1,488(1.3)(4.45)(0.5)/(0.388) = 90,366 Page 15, Column 1: = 0.184(Re) -0. =0.184(90,04)0.5=0.019 should read = 0.184(Re) -0. =0.184(90,04) -0. =0.019 The Lokhart-Martinelli Correlation Page 15, Column 1: ρ m = ρ g g L ρ L should read ρ m = ρ g g ρ L L Page 15, Column 1: Re L =(dv sl ρ L /µ L ) = 1,488(0.5x55.04x1.605/13.09)=,385 should read Re L =1,488dv sl ρ L /µ L =1,488(0.5x55.04x1.601/13.693)=,385 Page 15, Column 1: -(d/) F = L (ρ g g G m ) (1-x) φ L /(ρ L g d)=.364 s/t = si/t should read -(d/) F = L ρ L v sl φ L /(g d) =.31s/t = si/t Page 15, Column 1: -d/ = = si/t should read -d/ = = si/t

4 The Homogeneous Model Page 15, Column 1: Re m = G m d/µ m = 94.3(0.5)/(1.6 x ) =,73 should read Re m = G m d/µ m = 94.3(0.5)/(1.8 x ) =,741 Page 16, Nomenlature: d = ie or well diameter, in. should read d = ie or well diameter, t g = onversion ator, 3.17 (lbm-t)/lb/se should read g = onversion ator, (lbm-t)/(lb-se ) G = mass lux, mass low rate er unit area, ρv, lbm/(hr-t ) should read G = mass lux, mass low rate er unit area, ρv, lbm/(se-t ) G m = mixture mass lux, ρ m v m, lbm/(hr-t ) should read G m = mixture mass lux, ρ m v m, lbm/(se-t ) N = inverse visosity number [=gd 3 ρ L (ρ L - ρ g )] /µ L ], dimensionless should read N = rition ator orrelating number in Hagedorn-Brown orrelation, dimensionless N L = liquid visosity number [=µ L (g/ρ L σ 3 ], dimensionless should read N L = liquid visosity number [=µ L (g/ρ L σ 3 ) 1/4 ], dimensionless N s = Duns and Ros sli veloity [=S(ρ L /gσ] 1/4, dimensionless should read N s = Duns and Ros sli veloity [=v s (ρ L /gσ) 1/4 ], dimensionless v s = [=S] should read v s = sli veloity, t/se [=S] µ = oil visosity, should read µ L = oil visosity, Chater 3 Page 0, Fig. 3.4: Froth-Annular mist low transition equation shown on igure is y=1/100(x/70) -06. Equation (3.) shows this equation to be Yv sl = 0.01(Xv sg /70) The grah line would indiate that the exonent in the equation is orret. Page, Equation (3.9): 1.53[g(ρ L - ρ g ) σ /ρ L ] 1/4 should read 1.53[g(ρ L - ρ g ) σ L /ρ L ] 1/4

5 Page 3, Equation (3.11): vsg > 0. 5 should read v v sg sg vsg > 0. 5 v v sl sg Page 8, Equation (3.34): v v 1 = 1.v v v 1 should read ( TB gtb )( LTB ) ( m T gls )( LLS ) ( v v )( 1 ) = ( v v )( 1 ) TB gtb LTB TB Page 8, Equation 3.45: m = 10, or N > 50 = 69N -0.35, or 18 < N < 50 = 5, or 18 < N should read m = 10, or N > 50 = 69N -0.35, or 18 < N < 50 = 5, or N <18 gls LLS Page 8, Column, 15 th line rom the bottom: as shown in Eq..15 should read as shown in Eq. 1.5 Page 9, Column 1, 8 th and 9 th lines rom to: ritional omonent estimated with Eq is not very dierent rom that given by Eq..15. should read ritional omonent estimated with Eq is not very dierent rom that given by Eq..14. Page 30, Column, 8 th and 9 th lines rom bottom: aroah used by Hasan and Kabir 8 (Eqs. 3.3, 3.6, and 3.57) should read aroah used by Hasan and Kabir 8 (Eqs. 3.4, 3.6, and 3.57) Page 31, Table 3.1: In annotation at bottom o table, 5 th line rom bottom: VS=Vertial Well Cases with 100 Slug Flow should read VS=Vertial Well Cases with 100% Slug Flow Page 31, Table 3.1: In annotation at bottom o table, nd line rom bottom: Orkis=Orkiszewski should read Orkis=Orkiszewski orrelation Pages 3-33, Examle 3.4.1: Data: µ L = should read µ L = Solution-Flow Pattern. Transition Criteria: i. Eq. 3.8: Constant shown is 0.35 in text. Whih is orret? ii. Page 3, Column, 0 th line rom to:, while the atual v sg is.19 t/se. should read, while the atual v sg is.84 t/se. Solution-Gas-Volume Fration and Pressure Gradient. The Hasan-Kabir Model: i. Page 3, Column, nd line rom bottom: x=v sg /(v sg ρ g v sl ρ l ) should read x=v sg /(v sg ρ g v sl ρ L )

6 ii. Page 3, Column, 1 th line rom bottom: µ m =0.934(13.09)0.066(0.019)=1.96. should read µ m =0.934(13.693)0.066(0.019)=1.79. iii. Page 3, Column, 10 th and 11 th lines rom bottom: Re m =(0.5)(4.45)(30.84)/(1.96x )=3,973 should read Re m =(0.5)(4.45)(30.8)/(1.79x )=3,967 iv. Page 3, Column, 9 th line rom bottom: m = 0.03(3,973) -0.5 =0.04 should read m = 0.3(3,967) -0.5 =0.04 v. Page 3, Column, 7 th and 8 th lines rom bottom: (d/) F =(0.04)(4.45) (30.84)/[(3.)(0.5)]=1.516 s/t= si/t should read (d/) F =(0.04)(4.45) (30.8)/[(3.)(0.5)]=1.511 s/t= si/t Solution-Gas-Volume Fration and Pressure Gradient. The Ansari et. al. Model: i. Page 33, Column 1, 5 th and 6 th line rom bottom: v TB =1.(4.45)0.958=6.8 t/se. should read v TB =1.(4.45)0.958=6.68 t/se. ii. Relae all instanes o 6.8 with 6.68 in all alulations or the rest o the examle; negligible dierene in the answers result. iii. Page 33, Column 1, 5 th line rom the bottom: Re LS =dv m ρ LS /µ LS =6,664; LS = should read Re LS =dv m ρ LS /µ LS =6,69; LS = iv. Page 33, Column 1, 3 rd and 4 th lines rom the bottom: Eq. 3.49: (d/) F =(0.0316)(4.45) (43.7)(1-0.37)/[(3.)(0.5)]=1.06 s/t= si/t. should read Eq. 3.49: (d/) F =(0.0354)(4.45) (43.7)(1-0.37)/[(3.)(0.5)]=1.19 s/t= si/t. v. The total ressure gradient is negligibly dierent rom that alulated in the book. Pages 34 and 35, Nomenlature d = ie or well diameter, in. should read d = ie or well diameter, t Between 17 th and 18 th lines rom bottom, add: LS =rition ator or liquid slug, dimensionless g = onversion ator, 3.17 lbm-t/lb-se should read g = onversion ator, (lbm-t)/(lb-se ) G = mass lux = mass low rate er unit area, lbm/t should read G = mass lux = mass low rate er unit area, lbm/(t -se) L sb =length o liquid slug should read L sb =length o liquid slug, t L TB =length o a Taylor bubble should read L sb =length o a Taylor bubble, t N =inverse visosity number [=gd 3 ρ L (ρ l - ρ g )] /µ l ], dimensionless should read N =inverse visosity number [={gd 3 ρ L (ρ L - ρ g )/µ L } 1/ ], dimensionless All veloity terms are shown with units o t/hr. The orret units are t/se.

7 v sg is shown with no units; orret units are t/se. Y M =ratio o gravitational to gas-hase ritional gradient, dimensionless should read Y M =ratio o gravitational to gas-ore ritional gradient, dimensionless Under Suersrits, N=exonent used in Eq. 3.0, dimensionless should read n=exonent used in Eq. 3.0, dimensionless Chater 4 Page 37, Column 1, 13 th line rom to: already omlex low henomena, generally observed should read already omlex low henomena generally observed Page 38, Column, 5 th line rom bottom: ( osα) should read ( os α) Page 39, Table 4.1: ρ is not deined. Assume it is ρ o - ρ g. Page 39, Table 4.1, Entry or Vertial and Inlined Flow Orientation, Bubbly Transition, Deinition o φ 1 : (d/d s )(1 0.65osa) should read (d/d s )(1 0.65os α) Page 39, Table 4.1, Entry or Vertial and Inlined Flow Orientation, Intermittent Transition, Deinition o φ 1 : n = 0.6e vsl/vssl should read n = 0.6e -0.17v sl /v ssl (my assumtion I do not have the reerene.) Page 39, Table 4.1, notation at bottom o table: s denotes standard ondtions, d s =1.0 in., r sg = kg/l, r sl =1 kg/l, should read s denotes standard onditions, d s =1.0 in., ρ sg = kg/l, ρ sl =1 kg/l, Page 39, Column, 14 th line rom to: Asinα should read Asin α Page 39, Column, Eq. 4.6: gl is not in the nomenlature at the end o the hater. Page 39, Column, Eq. 4.7: v sg should read v t Page 40, Column, 3 rd line rom to: exetion o bubbly slug low transition, should read exetion o bubbly-slug low transition, Page 40, Column, 1 th line rom bottom: by Beggs, 10 should read by Beggs 10. Page 41, Column 1, Eq. 4.1, nd Line: L 3 = 0.1 C L , and L = 0.5 C L should read L 3 = 0.1 C L , and L 4 = 0.5 C L Page 41, Column 1, 18 th Line rom to: Transition: C L < 0.01 and L < Fr <L 3; should read Transition: C L > 0.01 and L < Fr <L 3; Page 41, Column 1, 19 th Line rom to: Intermittent: 0.01 < C L > 0.4 and L 3 < Fr <L 3; should read Intermittent: 0.01 < C L < 0.4 and L 3 < Fr <L 3; Page 41, Column 1, 6 th Line rom to: g ), or horizontal should read g ) or horizontal Page 41, Figure 4.3: Grah Region I is not labeled on grah below L 1 and to let o L. Page 4, Eq. 4.1: F(α) = 1 Z[sin(1.8α) sin 3 (1.8α)] should read F(α) = 1 Z[sin(1.8α) sin 3 (1.8α)/3] Page 4, Eq. 4.: Z = (1 C L )ln[dc L e v dl Fr g ] should read Z = (1 C L )ln[dc L e v Ld Fr g ] Page 4, Column 1, nd Line rom bottom: gt is not deined in the nomenlature and does not math nomenlature in reerened Eq

8 Page 4, Column, 6 th line rom to: tion, with its ounterart or vertial systems, indiates should read tion with its ounterart or vertial systems indiates Page 4, Column, 1 st Line rom bottom: and Kabir, 6 as well as Kaya et al. 9 should read and Kabir, 6 as well as Kaya et al., 9 Pages 44-46, Field Examle 4.1: Solution. Flow Pattern and Transition Criteria: i. Page 45, Column 1, 0 th rom to: =[(0.49)(6.11)(0.357)(0.769)](0.9537) should read =[(0.49)(6.153)(0.357)(0.675)](0.9537). The answer.747 t/se should read.753 t/se. ii. Page 45, Column, 3 rd line rom to: Using Eq (v sg =1.08v sl ) should read Using Eq (v sg >1.08v sl ) iii. Page 45, Column, 10 th line rom to: In Eq. 3.1, v sg =3.1[(3.)(0.064)(5.33)/1.03 ] 1/4 should read In Eq. 3.1, v sg >3.1[(3.)(0.064)(5.33)/1.03 ] 1/4 iv. Page 45, Column, 11 th line rom bottom: Eq. 3.8: v =0.675[1-e -.747x14.8 ]1.169 e -.747x14.8 should read Eq. 3.8: v =0.675[1-e -.747/14.8 ]1.169 e -.747/14.8 v. Page 45, Column, 5 th line rom bottom: =.71 lbm/t 3 should read =.60 lbm/t 3. vi. Page 45, Column, last line: Re m = (0.0)(0.89)(.71)/(.15 X ) = 66,79 should read Re m = (0.0)(0.95)(.60)/(.15 X ) = 66,183. vii. Page 46, Column 1, 1 st line: = 0.3(66,79) -0.5 = 0.0 should read = 0.3(66,183) -0.5 = viii. Page 46, Column 1, nd and 3 rd lines rom to: Eq..14: (d/) F =(0.0199)(0.95) (.71)/[(3.)(0.)]=15.1 s/t= si/t. should read Eq. 3.49: (d/) F =(0.0354)(4.45) (43.7)(1-0.37)/[(3.)(0.5)]=1.19 s/t= si/t. Solution-Gas-Volume Fration and Pressure Gradient. The Ansari et. al. Model: ix. Page 33, Column 1, 5 th and 6 th line rom bottom: v TB =1.(4.45)0.958=6.8 t/se. should read v TB =1.(4.45)0.958=6.68 t/se. x. Relae all instanes o 6.8 with 6.68 in all alulations or the rest o the examle; negligible dierene in the answers result. xi. Page 33, Column 1, 5 th line rom the bottom: Re LS =dv m ρ LS /µ LS =6,664; LS = should read Re LS =dv m ρ LS /µ LS =6,69; LS = xii. Page 33, Column 1, 3 rd and 4 th lines rom the bottom: Eq. 3.49: (d/) F =(0.0316)(4.45) (43.7)(1-0.37)/[(3.)(0.5)]=1.06 s/t= si/t. should read Eq. 3.49: (d/) F =(0.0354)(4.45) (43.7)(1-0.37)/[(3.)(0.5)]=1.19 s/t= si/t. xiii. The total ressure gradient is negligibly dierent rom that alulated in the book.

9 o The Beggs and Brill Correlation: i. Page 46, Column 1, 11 th line rom bottom: and Fr = v m /gd = 67. should read and Fr = v m /gd = ii. Page 46, Column, 7 th line rom to: Eq. 4.1: F(α) = 1 Z[sin(1.8α) sin 3 (1.8α)] = 0.98 should read Eq. 4.1: F(α) = 1 Z[sin(1.8α) sin 3 (1.8α)/3] = iii. Page 46, Column, 10 th line rom to: Eq..18: ρ m = 53.33(0.40) 1.03(0.60)=1.99 lbm/t 3 should read : Eq..18: ρ m = 53.36(0.40) 1.03(0.60)=1.96 lbm/t 3. iv. Page 46, Column, 11 th line rom to: Eq..15: (d/) H = ρ m gsinα/g =.14 s/t= should read Eq..15: (d/) H = ρ m gsinα/g = 0.95 s/t= v. Page 46, Column, 14 th line rom to: (1-C L )=16.58 lbm/t 3, should read (1-C L )=16.40 lbm/t 3, vi. Page 46, Column, 15 th line rom to: =(0.0)(0.89)(16.58)/ (0.674x0.0067)=153,944. should read =(0.0)(0.953) (16.40)/ (0.674x0.0067)=153,944. vii. Page 46, Column, 16 th line rom o: Eq.1.11: n = 0.184(153,944) -0. = should read : Eq.1.11: n = 0.184(153,944) -0. = viii. Page 46, Column, 19 th line rom to: (lny) 3 ]= should read (lny) 3 ]= ix. Page 46, Column, 3 rd line rom to: Eq..17: d/= =0.46 si/t=total res- should read Eq..17: d/= =0.47 si/t=total res- 7. Page 48, Column 1, Fig. 4.10: Third drawing rom to, Elongated Bubble Flow should read Elongated Bubble Flow (Plug Flow) 8. Page 48, Column 1, 18 th line rom to: o gravity in horizontal low. should read o gravity eets in horizontal low. 9. Pages 48 49, Setion on Disussion o Transition Between Stratiied and Intermittent or Annular Flow. The equations in the disussion o this setion use nomenlature that does not math Fig One o the two should be hanged to be onsistent with the other. 30. Page 50, Fig. 4.13: The arameter label in the interior o the grah Y=1,000 is too lose to the data oints, and the Y is almost hidden. 31. Page 51, Column 1, 15 th line rom the to:, whih an be evaluated orm the should read, whih an be evaluated rom the 3. Page 5, Column 1, 8 th and 9 th lines rom to: A l /S l should read A L /S L 33. Page 53, Column 1, 13 th line rom bottom and Page 59, Column, 14 th and 16 th lines rom bottom: m should read m 34. Page 53, Column, 10 th line rom bottom: hole diameter resents urther omliations. should read hole diameter resent urther omliations. 35. Page 54, Column 1, 3 rd line rom to: α = should read α = Page 55, Column, 6 th and 7 th lines rom bottom: Figs through 4.18 rovide the model s validation. has too many saes between 4.18 and rovide.

10 37. Page 59, Column 1, 5 th line rom bottom and Column, 3 rd line rom to: ations (<70 o ), should read ations <70 o, 38. Nomenlature Corretions E o, Eotvos number, should be Eo. gt is mentioned on age 4, where Eq is reerened. This term is not deined in either the equation or the nomenlature. G m, G g, and G L = mixture, gas, and liquid mass luxes, ρv, lbm/(hr-t ) should have units o lbm/(se-t ) v tr = sueriial gas at the bubbly-slug transition zone, t/se should read sueriial gas veloity at the bubbly-slug transition zone. v Tα = terminal rise veloity o a Taylor bubble in a horizontal well inlined by α degrees, t/se is terminal rise veloity o a Taylor bubble in a deviated well inlined by α degrees, t/se. µ = oil visosity, should read µ = visosity,. Add n = no-sli to subsrit nomenlature. Chater 5 wh 1. Page 66, Column, Eq. 5.1: wh should read z = wh z z = wh ( z ) wg sinα wv Jg Jg zwg sinα wv Jg Jg z ( z ) wg sinα wv Jg Jg zwg sinα wv Jg Jg z z Q z z Q. Page 66, Column, Eq. 5.13: dh g sinα Jg v Jg dv = m Q w should read dh g sinα Jg v Jg dv = m Q w H H 3. Page 67, Column 1, Eq. 5.14: dh = dt d = dt C J d T P T H H should read dh = dt d = dt C J d T 4. Page 68, Column, Eq. 5.9: ± L ( T T ) φ dt T g sinα Jg = R ei

11 dt L g sinα Jg should read ± ( ) φ T T = R ei 5. Page 69, Column 1, Eq. 5.30: φ = v Jg dv C J d should read φ = v Jg dv C J d 6. Page 69, Column 1, Eq. 5.33: v φ Jg dv C J d 1 d = ρ should read v φ Jg dv C J d 1 d = ρ 7. Page 69, Column 1, 19 th and 0 th lines rom to: nearly equals the total ressure gradient. In other words, d/ ρ(g/g )sinα. should read nearly equals the total ressure gradient. In other words, d g ρ sinα (Set the equation o rom the text) g 8. Page 70, Column, Field Examle 5.1 Data: ˆ α = 0.04 t / se should read ˆ α = 0.04 t / hr 9. Nomenlature Corretions h a, h t, and h = onvetive heat transer oeiients, Btu/( o F-hr-t) should have units o Btu/( o F-hr-t ) Insert h r =radiative heat-transer oeiient, Btu/( o F-hr-t ) Insert J=mehanial equivalent o heat, 778 (t-lb)/btu N =inverse visosity number [=gd 3 ρ L (ρ l - ρ g )] /µ L ], dimensionless should read N =inverse visosity number [={gd 3 ρ L (ρ L - ρ g )/µ L } 1/ ], dimensionless t D =dimensionless time, ket/ρ e e r wb should read t D =dimensionless time, k e t/ρ e e r wb U = overall-heat-transer oeiient, Btu/(hr-t - o F) should have units o Btu/(se-t - o F) w = mass low rate o luid, lbm/hr should have units o lbm/se. Chater 6 1. Page 77, Column, Fig. 6.5 and Fig. 6.6 are numbered in reverse. The well shemati should be Fig. 6.5, and the syntheti ase temerature roiles should be Fig. 6.6.

12 . Nomenlature Corretions B a =arameter deined by Eq. 6., t/lbm should have units o t-hr/lbm. =heat aaity o luids, Btu/(lbm- o F) should read =heat aaity o luids at onstant ressure, Btu/(lbm- o F) J=t-lb to Btu onversion ator, dimensionless should read J=mehanial equivalent o heat, 778 t-lb/btu Chater 7 1. Page 79, Column, Eq. 7.: v v v t z 1 v = g ρ z d should read v v v t z 1 v = g sinα ρ z d. Page 80, Column 1, Eq. 7.3: ( me) d( m E) d v d 1 Q = w H v gz sinθ dt dt ( ) ( ) d me v d m E d 1 should read Q = w H v gz sinα dt dt 3. Page 80, Column 1, 1 th line rom to: given by 10 (Eq. 5.0) should read given by 10 (Eq. 5.19). 4. Page 80, Column 1, Eq. 7.4: Q = ρ v ( Tei T ) LR should read Q = Aρ v ( T T ) L ei R 5. Page 80, Column, Eq. 7.9: H ( m T ) ( ZT ) ZRT ρ d v Q = Aρ AρR A H Aρv H gz sinθ t t t M t ( ) should read H ( m T ) ( ZT ) ZRT ρ d Q = Aρ AρR A H α t t t M t v ( Aρv) H gz sin 6. Page 84, Column 1, Table 7.1: Data or ie roughness shows 1.8x10 (with an overstrike o the 1 by the x). It should read 1.8 x Page 86, Column 1, Last line: analogous to the gas and oil model desribed earlier in this- should read analogous to the gas and oil model desribed earlier in this- 8. Page 87, Column 1, 11th line rom bottom: rom both deth- and time deended mixture should read rom both deth- and time deendent mixture 9. Page 87, Column 1, 6 th line rom bottom: deended luid density, should read deendent luid density, 10. Nomenlature Corretions

13 Chater 8 R= universal gas-law onstant, sia-t 3 /lbmole- o R should read R= universal gas-law onstant, sia-t 3 /lbmole- o R t D =dimensionless time [=.64 x 10-4 kt/φµ t r w ] should read t D =dimensionless time [=k e t/ρ e e r w ] 1. Page 94, Column, Fig. 8.8: Labels T ti and T ae are reversed on eah set o urves.. Page 97, Column, 5 th line rom bottom: D, Se. D.. should read D, Se. D Page 98, Column 1, 3 rd line rom bottom: Eqs. D-1, D-, and D-7, resetively, should read Eqs. D-8, D-9, and D-36, resetively, 4. Page 98, Column, Disussion o Method Two: Exonential Aroah: This entire disussion is unlear beause there is no arameter A in Eq. D-14 (that equation reers to arameter α), and the reerene to integrating Eq. D-13 is not reasonable (Eq. D-13 is a deinition o a arameter ω ). Most likely this reers to Eq. D-0, but I am not sure o this. 5. Page 98, Column, Disussion o Method Three: Log-Linear Aroximation: Reerenes to Eq. D-16 should robably be Eq. D- or Eq. D-3. I am not sure whih. 6. Page 99, Column 1, Disussion o Method Four: Square-Root Time Aroximation: Reerenes to Eq. D-15 are robably inorret. This should robably be Eq. D- or Eq. D-3; again, I am not sure o this reerene. 7. Page 100, Column 1, nd line rom bottom: Reerene to Eq. D-15 aears inorret; this should robably be Eq. D-. One again, I am not sure. 8. Page 101, Column 1, nd line rom to: and a thermal diusivity o 0.04 hr-t - should read and a thermal diusivity o 0.04 t -hr 9. Nomenlature Corretions In the equation or T D, q F is reerened but is not inluded in the nomenlature. The subsrit F is also not inluded in the nomenlature. This term is relaed in Aendix D with the term Q. This should be made onsistent in both laes. Chater 9 1. Page 10, Column 1, 4 th line rom bottom: rate results in an inrease in both T a and T t. should read rate results in a derease in both T a and T t.. Page 1, Column, 11 th line rom to: volume-ration ours at,500 t, should read volume-ration ours at,400 t,. This assumes that the data in Table 9.3 is orret. 3. Page 16, Column 1, 13 th line rom to: omuted values o ressure and temerature should read omuted values o ressure and temerature 4. Page 17, Column 1, 16 th line rom to: in Eq. 9.6, has not been very suessul should read in Eq. 9.6, have not been very suessul H = xh 1 x H should read 5. Page 17, Column, Eq. 9.30: L ( ) L H = xh g ( 1 x) H L

14 6. Page 18, Column 1, 10 th line rom to: Chisholm 44 suggested should read Chisholm 46 suggested 7. Page 18, Column 1, 19 th line rom to: Chisholm 15 or various ittings should read Chisholm 46 or various ittings G 8. Page 18, Column 1, Eq. 9.36: ( ) ( ) ( 1 x) C 1 = 1 it d Le it ρ Ld X X ( 1 x) G C 1 should read ( ) ( ) it = d Le 1 it ρ Ld X X 9. Page 18, Column, nd line rom to: Chisholm 15 also suggested should read Chisholm 46 also suggested 10. Page 18, Column, 1 th line rom bottom: and H L = should read and H m = Page 19, Column 1, 1 st line: should be Page 19, Column 1, nd and 3 rd lines rom to and 13 th and 14 th lines rom to: Equations or C arry over to seond line and should have a multiliation sign at the end o eah irst line. 13. Page 130, Column, 3 rd and 4 th lines rom to: Re. 50 resents a om-i rehensive review should read Re. 50 resents a omrehensive review 14. Page 13, Column 1, 1 st line rom to: ourrene o oil to the let side o he should read ourrene o oil to the let side o the 15. Page 135, Column 1, 6 th and 7 th lines rom to: or a suitable solvent into therodution string should read or a suitable solvent into the rodution string 16. Nomenlature Corretions Units or D a, onstant deined by Eq. 9.11, should be Btu/(lbm-t) (add arentheses in denominator) Units or G and G *, mass luxes, should be lbm/(se-t ) Units or J, rodutivity index, should be STB/(D-si) (add arentheses in denominator) Units or r o, r jo, r ti, and r to, all radii in the wellbore, should be t. Deinition o T D inludes a ator o q F, whih is not deined in the text anywhere. See Chater 8 nomenlature orretions (above) or urther disussion. Units or U 1, U t, and U to, overall-heat-transer oeiients, should be Btu/(set - o F) Chater Page 147, Column, last line: We used this deth-deended orretion ator to should read We used this deth-deendent orretion ator to. Page 150, Column 1, nd line rom to: and Flores et. al., 13 allow understanding o should read and Flores et. al., 13 allows understanding o Aendix A 1. Nomenlature Corretions Add: h r = radiative heat-transer oeiient, Btu/(hr-t - o F)

15 T ai,t ti = inlet-temerature o annular or tubing luid, o F should read T ai,t ti = inside temerature o annular or tubing luid, o F Aendix B 1. Nomenlature Corretions Add: θ=inlination rom vertial, degrees