1036 Phan tich thi nghiem thii ap suht cho mdng ran nut ciia md RatTgjDdng^ PHAN TICH THI NGHIEM THtT AP SUAT CHO MONG RAN NlTT CUA MO RANG DONG Nguyin Hai Minh, Pham Huy Giao Hgc viin Cdng nghi Chdu[.]
1036 Phan tich thi nghiem thii- ap suht cho mdng ran nut ciia md RatTgjDdng^ PHAN TICH THI NGHIEM THtT AP SUAT CHO MONG RAN NlTT CUA MO RANG DONG Nguyin Hai Minh, Pham Huy Giao Hgc viin Cdng nghi Chdu A TOM T A T Md Rgng Ddng dugc phdt hiin vdo ndm 1995 vd hiin dang dugc khai thde Viec ddnh gid cdc thdng sd thdm, thdng sd skin, dnh hu&ng cua thi tich chdt luu thdnh giing vd van tdc thdm chdy tir cdc khdi matrix vdo nut ni, v.v qua phdn tich sd lieu thi nghiim thu dp sudt la rdt quan trgng cho qudn ly via giai dogn phdt triin vd khai thac Bdo cdo ndy di cap din phuomg phdp so sdnh ducmg cong chudn vd du&ng cong khdo sdt, nhdm minh gidi sd lieu thir dp sudt mdng md Rgng Ddng Md ngudn chuomg trinh bdng Fortran cua tdc gid Sabet (1991) da dugc cdi thiin phdt triin thdnh mdt chuong trinh m&i cd tin ggi la Wel_Frac, dung di tgo cdc du&ng cong chudn cho mdi trudmg mdt rdng vd hai rdng Chuomg trinh Wel_Frac cd thi di ddng chgy trin cdc bd dich Fortran sdn cd trin thi trucmg hiin Khi cdc dudng cong chudn dugc tgo vd trinh bdy du&i dgng tog thu nguyen, viec so sdnh vi dd thi ducmg cong chudn vd du&ng khdo sdt da dugc hodn thdnh bdng sir dung phdn mim ve thi Grapher Quy trinh so sdnh ndy Giao (2003) di xudt cho thir dp sudt giing bom cua nu&c ngdm Phuang phdp so sdnh dd thi trin mdy tinh cd thi dp dung cho cdc du&ng cong thi nghiim bom dp ciia cdc md ddu nhu da chirng minh bdo cdo ndy Hai tap sd lieu thir dp sudt cua mdng md Rgng Ddng da dugc phdn tich dua tren cdc du&ng cong chudn tgo b&i chuong trinh Wel_Frac dua trin quy trinh so sdnh dd thi du&ng cong da di cap & trin Ba md hinh cua via nirt ne dd dugc thir cho md Rgng Ddng gdm md hinh ddng nhdt mdt rdng, md hinh gid dn dmh hai rdng vd md hinh khdng dn dinh hai rdng Ldi minh gidi trung binh da dugc u&c tinh b&i chuang trinh Wel_Frac vd md hinh gid dn dinh hai rdng dugc ddnh gid Id tdt nhdt KY HIEU = He so he, RB/STB c, = Tdng nen tai dilu kien ban diu, LtVm, psi"' h = Chieu day he chiia diu, L, ft /C = Do thim, L ^ m D P = Ap suat, m/Lt^, psi PD = Ap suat thir nguyen PDU = Ap suat gieng thir nguyen P,,f= Ap suat chay vao gieng, m/Lt^, psi Tuygn tap bao cao Hdi nghj KHCN "30 nSm Dau Viet Nam: Co" hdi mdi, thach thuc mdi" 1037 Q = Luu lugng ddng chay, L^t, STB/D r = Ban kinh anh hudmg, L, ft ro = Ban kinh anh hudng thii nguyen r,, = Ban kinh gilng, L, ft iS* = He sd CO hgc Skin t = Thdi gian, T, gid to = Thdi gian thii nguyen z = Bien Laplace s = Sai sd minh giai trung binh, % )ji = Do nhdt dau, m/Lt, ep (^ = Do rdng Q = Thdng sd chiia niit ne X = He sd dac trung cho cudng ddng luu chay giiia hai mdi trudng nirt ne va khdi matrix CHI SO DU'6l DONG D: Thii nguyen / Niitne m: matrix w: Thanh gieng GI61 THIEU Cac md dau da mdng chiem phan tram eua tdng trtr lugng dau tren the gidi Phan cdn lai dugc tim thay da cat ket va da carbonat Sd lugng md dau da mdng kha nhd, cd 35 md tren the gidi Nhu mdt trudmg hgp dac biet, hau het cac md dau d phia Nam them luc dia Viet Nam khai thac tir mdng granit niit ne vdi chieu sau mdt vai km Cac thdng sd cho md phdng via, khai thac va quan ly thudng dugc danh gia dua tren cac thdng sd thu dugc tir thir via, dia vat ly gieng khoan, v.v Trong pham vi bao cao cac tac gia tap trung vao phan tich thi nghiem bom ap bang phuong phap so sanh thi, vdn la mdt phuang phap thdng dung va hiiu ich cho cae ky su cdng nghe md Muc dich nghien ciiu chinh la phat trien mdt phuong phap minh giai tien ich va re tien eho sd lieu thi nghiem thir chuyen ap suat eho via mdng niit ne va ap dung cho da mdng md Rang Ddng d Viet Nam (Hinh 1) Hai tap sd lieu thir chuyen ap ciia md Rang Ddng da dugc lira chgn eho phan tich Luu y, ten gieng, vi tri toa do, v.v da dugc thay ddi nghien cim vi ly bao mat thdng tin 1038 Phan tich thi nghiem thir ap suht cho mdng ran nut ciia md Rang Odng^ Hinh 1: Mo Rang Dong o phia Nam them luc dia Viet Nam Barenblatt (1960) la ngudi dau tien da coi da niit ne tu nhien la cac khdi hop dugc phan chia bdi cac khdi matrix va nirt ne Warren va Root (1963) chuyin hoa va biin ddi edng phuong trinh ddng chay cho via mit ne dua tren cac gia thilt cua Barenblatt vdi khdi matrix va nirt ne, md hinh ciia hg mdi trudng niit ne tu nhien dugc dac trung bdi hai thdng sd, u\a& (^ day u dugc dinh nghia la ty suat cua mdi trudmg niit ne vdi toan via va a la he sd dac trung cho cudng ddng luu chay gitra hai mdi trudmg nirt ne va khdi matrix dugc tinh bang ty sd cua tham khdi matrix va thim nirt ne Phuomg trinh khuech tan eiia Warren va Root (1963) dudi dang thii nguyen dugc trinh bay nhu sau: dPn ol n (1) X"y^n tap bao cao Hpi nghj KHCN "30 n^m DSu Viet Nam: Co- hdi mdi, thach thuc mdi' 1039 O day: Po„, va PD/ la ap suit thir nguyen cua khdi matrix va nirt ne tuomg img; to la thdi gian thir nguyen; u la thdng sd chiia nirt ne va & la he so dac trung cho cudng ddng luu chay giua hai mdi trudng nirt ne va khdi matrix Bourdet va Gringarten (1980) da biin ddi cdng tap dudng cong chuan cho ddng chay xuyen tam, tdi gilng bang each gia thiet he sd anh hudmg gieng va he sd skin la hing sd va bing eho mdi trudng hai rdng vdi nghiem giai tich sau: Po(^) = K, (r,, 4^(7) ) + S4W(7)K, (4Wl^)) (2) z{4^f7)K, (4^fT^)) + SC„[K,(4^(7j) + s47jf7)K, (4W^))]} day: In /W= /, Zj bien Laplace coi) - co)z + A (l - &»)z + A (3) (4) KQ (r^ •^zf{z) j va K^ (r^ yjzf{z)) la ham Bessel bien ddi bae va bae 1, tuong ung; S la he sd skin; va Co la anh hudng cua the tich chat luu gieng dudi dang thii nguyen Sabet (1991) da phd bien ma chuomg trinh Fortran, khai thac giai thuat ciia Stehfest (1969) cho nghiem dugc dua bdi Gringarten (1979) nhu xem dudi day: In? ^ — '-^z^{i)p,{^,) ' D '=1 v^oy (5) day: N I /:— ^ ^+1 „ '+1 -+1 K^ (IK) (6) \(K^)\l-K).{2K-i) P,{z,) la nghiem cua Gringarten (1979): PXh)- K,{^,)-vS47,K,{47,) z, {47,K, (V^) + z, C, [K, (V^) + S47,K, (V^)]} (7) Giao (2003) da nghien ciiu so sanh cac xap xi khae cua ham sd gieng khoan va dl xuat mdt ky thuat so sanh dd thi tren may tinh cac dudng cong thi nghiem thir gieng khoan nude ngam sir dung phan mem Grapher Ky thuat da sir dung nghien cim cho cae dudng cong thi nghiem ap suat dau PHUONG PHAP 1, Tao du-oTig cong chuan Phuomg trinh (2) da dugc sir dung chuang trinh Wel_Frac dl tao cae dudng cong chuan Cac dudng cong cho ba md hinh tir din dugc md ta dudi day va duge hiln thi Hinh tr 5, tuong iing: Phan tich thi nghiem thir ^p sudt cho mdng ran nut ciia md Rang Ddjig^ 1040 • Md hinh 1: md hinh ddng chay mdi trudng ddng nhit cua mdt rdng (Hinh 2) • Md hinh 2: md hinh ddng chay gia dn dinh mdi trudng mit ne hai rdng (Hinh 3) • Md hinh 3: md hinh ddng chay khdng dn dinh mdi trudmg nirt ne hai rdng (Hinh 4) Hinh 2: Du'dng cong chuan cua mo hinh (Mo hinh dong chay dong nhat) : XoXe" - _ ^ - j ^ = ^ ^ • - - jy^\'-;:^^^^'^ " " 10' *=ctrrrr!T7 L lo- I ' I I I I I I I 1 J 1 1 ' 100CO Hinh 3: Dvong cong chuan ciia mo hinh (Mo hinh dong chay gia on dinh) Hinh 4: Duong cong chuan cua mo hinh (Mo hinh dong chay tam thoi) Tuygn tap bao c^o Hgi nghj KHCN "30 nSm P k Viet Nam: CQ- hdi mdi, thach thuc mdi" 1041 o o »>oOOO°~ „„ô-; : ~r • ^ ^ ' ^ 10 i - - • • ' ; 10000 I.'' Hinh 7: Ket thiic so sanh du'ong cong chuan va du'O'ng cong khao sat cho mo hinh Tuygn tap bao cao Hgi nghj KHCN "30 nam Dau Viet Nam: Co hdi mdi, thach thuc mdi" 1Q43 Hinh 8: Ket thuc so sanh du-ong cong chuan va du'dng cong khao sat cho mo hinh IniermediuK time Hinh 9: Ghi lai cac gia tri tir du'dng cong chuan va dudng cong khao sat cho mo hinh Hinh 10: Ket thiic so sanh du'dng cong chuan va dird'ng cong khao sat cho mo hinh Quy trinh phan tich cho md hinh ciing tuong tu nhu md hinh chi khae d chd la thay vi duong cong &e^^ la dudmg cong Ket qua so sanh cua md hinh dugc the hien nhu Hinh 10 Minh giai Khi cap toa ciia dilm M la {P^, ttfCo)^ va {AP, t)^ dugc liy qua trinh minh giai se tinh cac thdng sd sau: IQ44 Phan tich thi nghiem thu- ap suSt cho mdng ran nut ciia md RangjDo£g_ a Do thdm (Kj) Ty sd giiia {PD).U va {AP)M cua diem M dugc sir dung cho tinh toan gia tri tham nJiu sau: ^ _\4\.20Bp{P,Xi (8) ' h (APL day: Kf la thim nirt ne {mD); B la he sd he {RB/STB); Q la luu lugmg ddng chay (thimg/ngay); a la nhot cua chat luu {cp); va h la chieu day he (ft) b Anh hw&ng thi tich chdt Iwu thdnh giing (C) Ty sd giiia {tNCD).\i va (Ow cua diem M duge sir dung xac dinh c Skin (S) Khi anh hudmg thi tich chit luu gieng da xac dinh d tren, C£y+,„ cd the dugc tinh nhu sau: ^ 0.89C Gia tri C^e" tir dudmg cong chuan, noi cac diem xac dinh cudi tuomg img vdi CQC cua via la {Coe )/+,„• Cac gia tri Cof+m cua {CDC )/+„ dugc tinh toan hieu img Skin ciia gilng S = Un^ 'J^ (11) C d Hi sd f CO j Gia tri cua cac dudmg eong chuan, nai cac diem khao sat ap suat dau va eudi tuomg img vdi dudmg cong chuan la {Coe^^va (Coe^'^)/+,„ 2.S ^= iCy')r.„ ^ 2S\ (12) iC,e'-')j e Hi sd (X) Gia tri &e'' cua md hinh (o cua md hinh 3) tir dudmg eong chuan, dugc so sanh tuomg img vdi giai doan gitia, dugc sir dung xac dinh thdng sd, thdng sd dac trung eho kha nang de dang trao ddi giiia eae khdi matrix va nirt ne A = (/le-"')e" (13) Trong md hinh 3: ic,y-'),,„, ^=^ - ^ -> {c,y-'),^„, ^-^'-^^i^ (14) day: a = 1.89 cho trudmg hgp dang tam va a = 1.05 cho trudng hgp dang hinh khdi Tuygn tap bao cao Hdi nghj KHCN "30 nam DSu Viet Nam: CQ- hdi mdi, thach thuc mdi" 1045 Tinh toan loi minh giai trung binh Sau sd lieu khao sat duge ve, dugc so sanh va duge minh giai, cac md hinh via se duge so sanh va thao luan vdi nham tim md hinh tdt nhat Ldi minh giai da dugc tinh toan bao cao nhu sau: ^_mf\{Poo),-{Po), (15) day: d la loi trung binh minh giai (%); n la sd diem sd lieu; {Poo), la ap suit khao sat dugc chuyen ddi tuong iing tdi diem thii / va dudmg cong chuin {PiA={^)}^ (16) Q day: {AP)i la sir khae gitia ap suit ban diu va ap suit khao sat tai dilm thii /; (PD), la ap suat dugc tinh tuomg iing tdi dudmg cong chuin tai dilm thii /, cimg vdi thdi gian ti Thdi gian t, cin dugc chuyen tuong iing vdi {to/Co)h tinh toan {ID/CD), dua tren edng thiie sau: (',./c„),=(d^^^ M (17) V')A/ Gia tri d cang nhd thi dudmg eong ap suat khao sat cang gan vdi md hinh dudmg cong chuan ciia via da dua Su xac dinh (P^,), va ldi trung binh cho ba md hinh da dugc thuc hien bang chuomg trinh Wel-Frac Hinh 11: So sanh loi minh giai trung binh CAC KET QUA AP DUNG Sd lieu thir ap suat eua dudng cong khao sat ap suit va thdi gian, tir hai gilng khoan da dugc thuc hien tai gilng BD-8X va BD-13X ciia md Rang Ddng Sd lieu dugc minh hoa Bang 1046 Phan tich thi nghiem thu- ap suat cho mdng ran nut ciia md Rajig_Ddng Bang 1: So lieu ciia ket qua giam ap cua gieng BD-8X va BD-13X, md Rang Dong BD-8X in central Break of Day field GIVEN DATA B= (Va)c.)r-m = P- = rw = h= Pi = Q= Drawdown test Time (t hr) 0.016 0.018 0.021 0.023 0.026 0.031 0.034 0.040 0.046 0.053 0.062 0.076 0.084 0.100 0.113 0.131 0.154 0.179 0.206 0.238 0.268 0.306 0.342 0.391 0.452 0.544 0.601 0.699 0.787 0.939 1.121 1.293 1.443 1.664 1.796 2.022 2.292 2.668 2.977 3.352 3.739 4.100 1.735 4.15E-06 0,372 0.35 1349 5103.24 5432 Pressure (P psi) 5097.65 5097.32 5097.11 5096.68 5096.52 5096.05 5095.80 5095.48 5094.94 5094.66 5094.36 5094.14 5093.98 5093.83 5093.66 5093.42 5093.42 5093.17 5093.00 5092.82 5092.56 5092.28 5092.19 5092.09 5091.81 5091.51 5091.23 5091.11 5090.80 5090.28 5089.95 5089.82 5089.48 5089.14 5088.78 5088.78 5088.41 5088.15 5088.03 -5087.64 5087.49 5087.49 (RB/STB) (psi'^-1) (cp) (ft) (ft) (psi) (STB/day) AP = P i - P ( p s i ) 5.59 5.92 6.13 6.56 6.72 7.19 7.44 7.76 8.30 8.58 8.88 9.10 9.26 9.41 9.58 9.82 9.82 10.07 10.24 10.42 10.68 10.96 11.05 11.15 11.43 11.73 12.01 12.13 12.44 12.96 13.29 13.42 13.76 14.10 14.46 14.46 14.83 15.09 15.21 15.60 15.75 15.75 BD-13X in Northern Break of Day field GIVEN DATA B= (V(6cOf+m= M= rw= h= Pi= Q= 1.685 4.29E-07 0.361 0.35 1543 5006.33 5521 Drawdown test Time (t hr) 0.016 0.017 0.018 0.020 0.022 0.024 0.027 0.029 0.033 0.036 0.040 0.045 0.050 0.057 0.066 0.077 0.091 0.107 0.128 0.145 0.173 0.199 0.235 0.271 0.314 0.377 0.463 0.542 0.645 0.787 0.928 1.141 1.415 1.628 1.938 2.287 2.653 3.103 3.604 4.323 5.185 6.535 7.839 9.567 12.453 15.197 Pressure (P psi) 5001.11 5000.80 5000.47 5000.02 4999.58 4998.88 4998.44 4997.62 4996.94 4996.21 4995.16 4994.40 4993.27 4992.36 4991.42 4990.26 4989.01 4987.98 4987.05 4986.07 4985.21 4984.70 4983.96 4983.39 4982.61 4981.64 4980.59 4979.93 4978.81 4977.88 4976.71 4975.95 4974.92 4974.15 4973.06 4972.52 4971.37 4971.09 4970.47 4969.59 4968.65 4968.04 4966.74 4966.10 4965.39 4963.66 (RB/STB) (psi-'-l) (cp) (ft) (ft) (psi) (STB/day) AP = Pi - P(psi) 5.22 5.53 5.86 6.31 6.75 7.45 7.89 8.71 9.39 10.12 11.17 11.93 13.06 13.97 14.91 16.07 17.32 18.35 19.28 20.26 21.12 21.63 22.37 22.94 23.72 24.69 25.74 26.40 27,52 28.45 29.62 30.38 31.41 32.18 33.27 33.81 34.96 35.24 35.86 36.74 37.68 38.29 39.59 40.23 40.94 42.67 Tuygn tap bao cao Hdi nghj KHCN "30 nam Phu Viet Nam: Co hoi mdi, thach thuc mdi" 1047 Ap dung cho gilng BD-8X o trung tam mo Rang Dong a Md hinh (md hinh ddng chdy ddng nhdt chi Wnh 2) Kit thuc so sanh vdi dudng cong chuin (Hinh 7) {Coe'')=10' DilmM:(% = -lva {AP)^ 2.5 « ^ = ^ ^ (tJCX 10 • Minh giai: Do thdm (Kf) ^ ^ g ^ / / ( P j , , ^141.2x5432.00x1.735x0.372 _ i ^ g o „ j ' • h 1349 (APL 2.5 Anh hu&ng thi tich chat luu thdnh giing (C) 0.000295^^/2 (t) 0.000295x146.78x1349 0.033 ^ , , , , , , , , -•—7 r— = = 0.52{bbl / psi) p {t,/C,X 0-372 10 Skin (S) C= C„,„, = ^!^^£-^ - °-f-°-^^ ^ = 672.48 4.15x10-'xl349x0.35' ^ {VipcX^nMl i IA2 A 10 = -0.95 y 672.48 [CIN'%„ Cyy^„, b Mo hinh (mo hinh dong chdy gid on dinh) Ket thuc so sanh vdi dudmg cong chuan (Hinh 9): {CDe^\= 10', {Coe^^n, ,-2 = 3xl0", va Xe^^ = 10 DilmM:(% ^ v a(tJCX ^ i k _ -10^ (AP),, =3.69 • Minh giai: • Do thdm (K) ^ • ^ g ^ / ^ f e ) , , ^141.2x5432.00x1.735x0.372 _ n ^ ^ ^ ^ h (AP)^ 1349 3.69 Anh hu&ng thi tich chdt hm thdnh giing (C) 0.000295.^77 (t) 0.000295x99.45x1349 0.05 ^^ c-^^uu, > x C= —-.— ^'' — = = 0.53{bbl / psi) p ito/C,X 0.372 10 Hi sd (od) CO = - ( C > ^ Skin (Sf — = 0.30 —V— = 10' Phan tich thi nghiem thu- ap suit cho mdng ran niit ciia md Rang j)dng^ 1048 0.89C 0.89x0.53 (Vc,)j.^,„hr^ (Coe^% =-In CDf+m 0.89x0.37 480.17 4.15x10"'xl349x0.35^ = 0.5 In 10" = -3.08 480.17 He sd (X) A = 1.05(cy^f J3e-'' 10" 1.05lO'e"-2A:-3.( = 2.21x10" Ap dung cho gilng BD-13X o phfa BSc mo Rang Dong Ba md hinh ddng chay mdi trudng nut ne da dugc ap dung cho md Rang Ddng Cac dudmg eong chuan cho ba md hinh da dugc tinh toan bang chuang trinh Wel_Frac Su so sanh gitra dudmg cong chuan va dudng Ichao sat da dugc tien hanh bing phirong phap so sanh dd thi true tilp tren may tinh (Giao, 2003) Qua trinh so sanh va minh giai da dugc thuc hien tuong tu nhu trudng hgp BD-8X Ket qua phan tich thir ap Tuygn tap bao cao H^i nghi KHCN "30 nam Phu Viet Nam: Co' hdi mdi, thach thuc mdi^ 1049 suit cho gilng BD-13X thi hien Bang Cac kit qua thu duoc chi ring md hinh (md hinh ddng chay gia dn dinh) la md hinh phu hgp nhit phan tich thir ap suat cho da mdng ntJt ne cua md Rang Ddng Bang 2: T6ng ket cac ket qua phan tich thir ap suat BD-13X BD-8X dn Khdng dinh dn Ddng Gid dinh on Ddng nhdt (Mo hinh 1) Gid dinh (Mo 2) K{mD) 146,78 99,45 86,34 42,87 31,31 23,22 C {bbl/psi) 0,52 0,53 0,37 0,70 0,91 0,79 S -0,95 -2,71 -3,08 -2,17 -3,45 -4,53 u 0,3 0,33 0,1 0,1 & 4,42 X 10'^ 2,21 X 10-^ 1,01 X 10-^ 1,22x10"^ 2,142 2,429 1,262 2,873 &{%) 7,758 hinh (Mo S) r nhdt hinh (Mo (Md hinh 1) 2) 7,029 hinh Khong dinh dn (Md hinh 3) KET LUAN • Ba md hinh da dugc nghien cim gdm md hinh (md hinh ddng chay mdi trudng ddng nhat mdt rdng); md hinh (md hinh ddng chay gia dn dinh mdi trudmg nut ne hai rdng); md hinh (md hinh ddng chay khdng dn dinh mdi trudmg nut ne hai rdng) Chuomg trinh ciia Sabet (1991) eho md hinh ddng chay mdi trudmg ddng nhat mdt rdng da dugc khai thac va cai tien cho viec tinh toan cac dudng cong chuan cho md hinh mdt rdng va hai rdng Ky thuat so sanh thi true tilp tren may tinh (Giao, 2003) dugc img dung de so sanh dudng cong chuan va dudmg cong khao sat bang sir dung phan mem phien ban mien phi cua Grapher • Dudng cong chuin cho md hinh tdi va quy trinh so sanh dd thi da dugc ap dung phan tich sd lieu thir ap suit d md Rang Ddng d Viet Nam tren hai sd lieu thir ap suat ciia gilng BD-8X va BD-13X Md hinh (md hinh ddng chay gia dn dinh mdi trudmg nirt ne hai rdng) cho kit qua tdt nhat, ket qua tir md hinh cd the lira chgn cho quan ly via Kf = 99,45mD; C = 0,53bbl/psi; u = 0,30; S = -2,71; & = 4,42 x W^ cho BD-8X; va Kf = 31,3ImD; C = 0,91bbl/psi; u^O.l; S = -3,45; & = 1,01 x 70"^ choBD-13X • Md hinh la md hinh tdt nhit cho phan tich thir ap suit cua md Rang Ddng dua vao viec xac dinh ldi minh giai trung binh lin diu tien dugc de xuat tinh toan bao cao bang chuong trinh Wel_Frac Ldi minh giai trung binh dugc dinh nghia la sir khae giira dudmg khao sat va dudmg cong chuin, va da dugc tinh la 7,5%, 1,6% va 2,5% cho md hinh 1, md hinh va md hinh 1050 Phan tich thi nghiem thii- ap suit cho mdng ran nut cua md Rang j)dng^ KIEN NGHI • Phuang phap so sanh dd thi true tiep tren may tinh dudng cong chuin \ a dudmg cong khao sat de xuat bao cao Kha don gian va dl sir dung, cd the ap dung cho cac md dau Idiac d phia Nam them luc dia Viet Nam bdi nd la edng cu re tien, de sir dung va nhanh, cd the ciing tdn tai song hanh vdi cae cdng cu phan mem thuang mai phirc tap • Su cai thien chuomg trinh Wel_Frac va ky thuat so sanh dudmg cong tren may tinh vdi cac phin mem khae nhu Matlab, MathCAD AutoCAD, v.v nen dugc tiep tuc nghien cuu • Tiep theo, cac tac gia se du kien nghien cuu so sanh nghiem giai tich vdi nghiem sd cho ddng chay mdi trudng nut ne dua tren chuong trinh phan tir hiJu han da dugc phat trien bdi Giao (1994) TAI LIEU THAM KHAO Barenblatt G.E., Zheltov LP., Kochina I.N., 1960 Basic concepts in the theory of homogeneous liquids in fissured rocks Joumal of Applied Mathematics, p 1286 1303, Russia (Former USSR) Bourdet D., Gringarten A.C, 1980 Determination of fissure volume and block size in fractured reservoir by type-curve analysis Joumal of Society of Petroleum Engineering, SPE 9293 Giao P.H., 2003 Revisit of well function approximation and an easy graphical curve matching technique for Theis' solution Ground Water, p 418 - 422 Giao P.H., 1994 Finite element quasi-3D modeling of flow in double porosity fractured medium Special Research Study, Asian Institute of Technology, Bangkok, Thailand Gingarten A.C, Bourdet D et al., 1979 A comparison between different skin and wellbore storage type curves for early time transient analysis Joumal of Society of Petroleum Engineering, SPE 8205 Sabet M.A., 1991 WeU test analysis Volume 8, Huston Tokyo, Japan, 459p Stehfest H., 1969 Numerical inversion of Laplace transforms Communication of the ACM, Frankfurtam Main, Germany Warren J.E., Root P J., 1963 The behavior of naturally fractured reservoir Joumal of Society of Petroleum Engineering, SPE 426 ... • Mdt dudmg cong chuan {CDC'' ^cho vdi ddng chay tir nirt ne cac diem sdm: dudmg cong tuong img • Mdt dudng cong &e''^ ciia md hinh (hoae d cho md hinh 3) (Hinh 9) cho cac diem gitia: dudng cong... du''dng cong chuan va dudng cong khao sat cho mo hinh Hinh 10: Ket thiic so sanh du''dng cong chuan va dird''ng cong khao sat cho mo hinh Quy trinh phan tich cho md hinh ciing tuong tu nhu md hinh... 1.05lO''e"-2A:-3.( = 2.21x10" Ap dung cho gilng BD-13X o phfa BSc mo Rang Dong Ba md hinh ddng chay mdi trudng nut ne da dugc ap dung cho md Rang Ddng Cac dudmg eong chuan cho ba md hinh da dugc tinh toan