Preface - karya ilmiah universitas trisakti

28

Transcript of Preface - karya ilmiah universitas trisakti

Preface

The 5th Annual Applied Science and Engineering Conference (AASEC) 2020 is hosted by Technical and

Vocational Education study program, School of Postgraduate Studies, Universitas Pendidikan Indonesia

(UPI), UPI Publication Center, in collaboration with other co-hosting institutions such as Universitas Negeri

Jakarta, UIN Sunan Gunung Djati Bandung, Universitas Trisakti, Politeknik Enjinering Indorama, Universitas

Warmadewa, Sampoerna University, Universitas Negeri Surabaya, Sekolah Tinggi Teknologi Garut,

Universitas Trilogi, Institut Pendidikan Indonesia, Universitas Serang Raya, Universitas Mataram,

Universitas Kanjuruhan Malang, Politeknik Negeri Malang, Universitas Negeri Gorontalo, UIN Sulthan

Thaha Saifuddin Jambi, and Universitas Muhammadiyah Sidoarjo.

Unlike the previous conference whose all speakers were scientists, this year’s AASEC made an attempt to

attract more participation from a wider community by inviting an Indonesian public figure who is also an

environmentalist, Hamish Daud Wyllie, along with the other scientists such as Fitri Khoerunnisa from

Universitas Pendidikan Indonesia, Indonesia; Muhammad Aziz from Tokyo University, Japan; and Yulfian

Aminanda from Universiti Teknologi Brunei, Brunei Darussalam to give a talk based on their expertise

under the theme β€œGreen Technologies for Sustainable Environmental Development”. The conference was

set to be carried out on 21-22 April 2020; however, due to the outbreak of COVID-19, changes arose

starting from the postponement of the conference to turning it out into a virtual seminar. To this extent,

the parallel presenters were required to send their presentation videos to the organizing committee to

be uploaded to AASEC official Instagram account (@aasec_). The presentations proceeded based on each

scope determined by the organizing committee as follows: 01 June 2020: Chemical Engineering, 02 – 08

June 2020: Civil Engineering, 15-19 June 2020: Computer and Communication Engineering, 20 June – 01

July 2020: Computer Science, 02 – 07 July 2020: Electrical Engineering, 08 – 10 July 2020: Electronics

Engineering, 11 – 20 July 2020: Environmental Engineering, 21-24 July 2020: Information Engineering, 30

July – 02 August 2020: Material Engineering, 03 – 05 August 2020: Material Science and 06 -09 August

2020: Mechanical Engineering.

Despite the pandemic, AASEC 2020 still received a huge attention from the participants. There are 577

papers to be submitted to be published in the proceedings of the 5th AASEC 2020. All the papers have

been through a series of rigorous review process to meet the requirements and standards of international

publication.

We would like to express our deepest gratitude to the international advisory members, scientific

committee, and organizing committee of AASEC 2020 for their commitment and hard work amidst this

difficult time. We would also like to thank all the co-hosting institutions for their cooperation on the

conference turnouts, particularly on the paper selection submitted to the committee. A huge appreciation

also goes to the vice rector for research, international affairs, business, and partnership of Universitas

Pendidikan Indonesia for giving constant support to the conference and other conferences held by the

university. Last but not least, we thank you all presenters and participants of AASEC 2020 for the most

significant contribution at the conference. We hope to see you in the 6th AASEC 2021.

The Editors, Prof. Dr. Ade Gafar Abdullah Dr. Isma Widiaty Ari Arifin Danuwijaya, M.Ed. Cep Ubad Abdullah, M.Pd.

LIST OF COMMITTEE

Conference Chair: Prof. Dr. Ade Gafar Abdullah, M.Si. Co-Conference Chair: Ari Arifin Danuwijaya, M.Ed. Advisory Boards: Prof. Dr. Muhammad Ali Ramdhani, M.T. - UIN Sunan Gunung Djati Bandung Prof. Ir. Bambang Hari Kusumo, M.Agr.St., Ph.D. - Universitas Mataram Dr. Astri Rinanti, M.T. - Universitas Trisakti Dr. Deni Miharja, M.Ag. - UIN Sunan Gunung Djati Bandung Dr. Hilmi Aulawi, M.T. - Sekolah Tinggi Teknologi Garut Dr. Sudi Dul Aji - Universitas Kanjuruhan Malang Dr. Erfan Handoko, M.Si. - Universitas Negeri Jakarta Dr. Mohamad Syafri Tuloli, S.T., M.T. - Universitas Negeri Gorontalo Dr. Erina Rahmadyanti, S.T., M.T. - Universitas Negeri Surabaya Dr. Eng. Farid Triawan – Sampoerna University Dr. Mirsa Umiyati, S.S., M.Hum. – Universitas Warmadewa Dr. Ir. Afzeri Tamsir, M.Eng. - Politeknik Enjinering Indorama Dr. Nizar Alam Hamdani, M.M., M.T., M.Si. – Institut Pendidikan Indonesia Dr. Shohifah Annur, S.Si., M.Sc. - Universitas Serang Raya Erfan Rohadi, S.T., M.Eng., PhD. - Politeknik Negeri Malang Irwan Alnarus Kautsar, S.Kom., M.Kom., Ph.D. - Universitas Muhammadiyah Sidoarjo Arfan, M.Soc.Sc., Ph.D - UIN Sulthan Thaha Saifuddin Jambi Yaddarabullah, S.Kom., M.Kom. – Universitas Trilogi Scientific Committee: Dr. Eng. Agus Setiawan - Universitas Pendidikan Indonesia Dr. Lala Septem Riza - Universitas Pendidikan Indonesia Didin Wahyudin, Ph.D - Universitas Pendidikan Indonesia Iwan Kustiawan, Ph.D - Universitas Pendidikan Indonesia Tutin Aryanti, Ph.D - Universitas Pendidikan Indonesia Dr. Setia Budi, M.Sc. - Universitas Negeri Jakarta Dr. Iwan Sugihartono, M.Si. - Universitas Negeri Jakarta Dr. Ir. Yohanes Parlindungan Situmeang, M.Si. Dr. Ir. I Gusti Agung Putu Eryani. MT. – Universitas Warmadewa Dr. Rini Setiati - Universitas Trisakti – Universitas Warmadewa Dr. Melati Ferianita Fachrul, M.S. - Universitas Trisakti Dr. Tanti, M.Si. - UIN Sulthan Thaha Saifuddin Jambi Dr. Tb. Ai Munandar - Universitas Serang Raya Dr. Gagus Ketut Sunnardianto – Sampoerna University Kushendarsyah Saptaji, PhD, CEng MIMechE – Sampoerna University Indrazno Siradjuddin, ST, MT, PhD. - Politeknik Negeri Malang Irwan Alnarus Kautsar, Ph.D. - Universitas Muhammadiyah Sidoarjo Drs. Lalu Zulkifli, M.Si., Ph.D. - Universitas Mataram Riser Fahdiran, M.Si. - Universitas Negeri Jakarta Muhammad Nur Hudha, M.Pd. - Universitas Kanjuruhan Malang

Dyah Triwahyuningtyas, S.Si, M.Pd. - Universitas Kanjuruhan Malang Ida Farida, S.T., M.T. - Sekolah Tinggi Teknologi Garut Dede Kurniadi, S.Kom., M.Kom. - Sekolah Tinggi Teknologi Garut Budi Arifitama, S.T, MMSI – Universitas Trilogi Silvester Dian Handy Permana, S.T, M.T.I – Universitas Trilogi Mindit Eriyadi, S.Pd, M.T. - Politeknik Enjinering Indorama Hamdan Sugilar, M.Pd. - UIN Sunan Gunung Djati Bandung Dian Sa'adillah Maylawati, S.Kom., M.T. - UIN Sunan Gunung Djati Bandung Busro, S.Ud., M.Ag. - UIN Sunan Gunung Djati Bandung Wrastawa Ridwan, ST, MT - Universitas Negeri Gorontalo Setya Chendra Wibawa, M.T. - Universitas Negeri Surabaya Asep Suparman, M.Pd. - Institut Pendidikan Indonesia Mochammad Tanzil Multazam, S.H., M.Kn. - Universitas Muhammadiyah Sidoarjo Mohammad Faizal Amir, M.Pd. - Universitas Muhammadiyah Sidoarjo Organizing Committee: Dr. Isma Widiaty – Universitas Pendidikan Indonesia Dr. Cica Yulia – Universitas Pendidikan Indonesia Dr. Dadang Lukman Hakim – Universitas Pendidikan Indonesia Cep Ubad Abdullah, M.Pd. – Universitas Pendidikan Indonesia Nia Amelia, M.Pd. – Universitas Pendidikan Indonesia Sugeng Rifqi Mubaroq, M.Pd. – Universitas Pendidikan Indonesia Diky Zakaria, M.T. – Universitas Pendidikan Indonesia Agus Juhana, S.Pd. – Universitas Pendidikan Indonesia Wildan Arasid, S.Pd. – Universitas Pendidikan Indonesia Aditya Ramadhan Islami, S.Pd. – Universitas Pendidikan Indonesia Aprellia Anggraeni, S.Pd. – Universitas Pendidikan Indonesia Muh. Abdul Latif, S.Pd. – Universitas Pendidikan Indonesia Gifran Rihla Gifrarka Latief, S.Pd. – Universitas Pendidikan Indonesia

List of Contents

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The 5th Annual Applied Science and Engineering Conference (AASEC 2020)IOP Conf. Series: Materials Science and Engineering 1098 (2021) 062018

IOP Publishingdoi:10.1088/1757-899X/1098/6/062018

1

Study of pressure behaviour of a well near two intersecting

faults

M T Fathaddin1, *, F Trihutomo1, A Nugrahanti1 and W Bae2

1 Univeritas Trisakti, Faculty of Earth Technology and Energy, Jakarta, Indonesia 2 Department of Energy and Mineral Resource Engineering, Sejong University, South

Korea

*[email protected]

Abstract. A pressure builds up test was performed in a dry gas exploration well. According to

geological data indicated that there are two intersecting faults near the well. The analysis result

provided not only information of the reservoir characteristics such as average reservoir pressure,

permeability, and formation damage, but also confirmation of the presence of those two

intersecting faults. In this study, a reservoir simulator was used to model pressure build up test

of a well located near two intersecting faults. The effect of several parameters namely the

distance between well to the faults, flow rate, and reservoir pressure, on bottom hole pressure

behaviour was observed. The simulation results showed that the effect of variation of the distance

between well and faults as well as that of reservoir pressure on estimation of permeability and

skin factor is not significant. While, the variation of flow rate may result in a significant

deviation. If a constant flow rate cannot be maintained during flowing period of the pressure build up test.

1. Introduction

An exploration well was completed with a perforation interval at depth of 1487.5-1490.5 m in a gas

reservoir located in West Java Province, Indonesia. According to the drilling, logging, and other

geological data shows that the lithology of the reservoir is a sandstone formation. In addition, there are

two intersecting faults near the well. A pressure build up test was conducted to determine the ability of

a reservoir to produce through the production well and to determine the characteristics of the reservoir.

Characteristics and parameters of a well-known reservoir can be used as a consideration for the

development process that will be carried out on the reservoir. The analysis of the well test result provided

not only information of the reservoir characteristics and productivity of the well, but also confirmation

of the presence of those two intersecting faults and the distance from the well to the faults as well.

Reservoir compartments are generally segmented by faults that prevent the migration of

hydrocarbons [1,2]. Pressure behavior of a constant-rate well located within multiple-sealing-fault

systems and closed rectangular drainage areas has been studied and modeled by several researchers [3-

8]. Earlougher and Kazemi the last straight line slope of pressure behavior plot in a well near a fault was

twice the first slope [9]. Tiab and Chriclow found that for a well located near two perpendicular fault

system, the last straight line slope of pressure behavior plot was four times the first one [10].

The objective of this research is to study the variation of the distance of the well from the faults, flow

rate, reservoir pressure, and porosity to the behavior of the bottom hole pressure well. The pressure

The 5th Annual Applied Science and Engineering Conference (AASEC 2020)IOP Conf. Series: Materials Science and Engineering 1098 (2021) 062018

IOP Publishingdoi:10.1088/1757-899X/1098/6/062018

2

behavior was shown in Horner’s plot. The analysis of the Horner’s curves indicated the alteration of

permeability and skin factor resulted from the variation of the parameters. Furthermore, the limitation

of the parameters for the well was also observed.

2. Literature review

Pressure build up test is basically executed with producing well at a constant rate (q) for a period of time

(tp) to establish a stabilized pressure distribution and then the well is closed [11]. For low gas reservoir

pressure, the pressure behavior during transient period of pressure build test can be expressed in terms

of pressure squared equation [12]:

𝑝𝑀𝑠2 =

1.637 Γ— 106 π‘žπ‘‡οΏ½Μ…οΏ½π‘”π‘§Μ…

π‘˜β„Žlog (

𝑑𝑝 + βˆ†π‘‘

βˆ†π‘‘) (1)

where pws, q, T, k, h, ΞΌg, z, tp, and t are shut-in bottom hole pressure, flow rate, temperature,

permeability, formation thickness, average gas viscosity, gas deviation factor, production time, and shut-

in time respectively. The semi-log plot of the shut-in bottom-hole pressure (pws2) versus log (tp+t)/t

will give a straight line of slope (m). This relationship represents Horner plot. From the curve,

information such as formation permeability and skin factor is obtained [13-17]. Permeability (k) can be

estimated from the following equation [12].

π‘˜ =1.637 Γ— 106 π‘žπ‘‡οΏ½Μ…οΏ½π‘”π‘§Μ…

π‘šβ„Ž (2)

After determining the permeability, the total skin factor (s’) can be obtained as follows [13].

𝑠′ = 1.151 [𝑝𝑀𝑠

2 βˆ’ 𝑝𝑀𝑓2

π‘šβˆ’ log (

π‘˜βˆ†π‘‘

οΏ½Μ…οΏ½π‘”π‘Μ…π‘Ÿπ‘€2) + 3.23] (3)

where , c, and rw are porosity, average gas compressibility, and well radius, respectively.

3. Method

The procedure of the research is shown in Figure 2. The data of the X well and reservoir rock and fluid

proterties are listed in Table 1.

Table 1. Well and reservoir data.

Parameters Values Parameters Values

rw 3.5 in ct 9.152E-4 psi-1

h 9.454 ft pr 552.88 psi

0.2 q 411.15 Mscfd

T 220.89 oF tp 3.537 hrs

ΞΌ 0.01454 cp t1 44.58 hrs

Reservoir simulator was used to predict the effect of several parameters on the determination of

permeability and skin factor. The parameters were the distance between well and the faults, flow rate,

reservoir pressure, and porosity.

4. Results and discussion

The result of pressure builds up test of X well was analyzed using pressure derivative curve and Horner

plot. Figure 1 presents a pressure derivative curve of bottom-hole pressure during well testing. The

figure shows that the pressure derivative data are scattered. It may be due to phase separation in the well

during shut-in period [17,18]. In last segment of the curve, it tends to bend upward. The uptrend curve

at last segment of the curve indicates that the propagation of pressure transient has reached closed

boundaries of the reservoir [17]. Figure 2 show a Horner plot of the pressure build up test data. The plot

The 5th Annual Applied Science and Engineering Conference (AASEC 2020)IOP Conf. Series: Materials Science and Engineering 1098 (2021) 062018

IOP Publishingdoi:10.1088/1757-899X/1098/6/062018

3

also confirms that there are faults in the vicinity of the well, since the slope is doubling up in the last

segment of the curve [19,20].

Figure 1. Pressure derivative plot.

The study was continued by analyze the effect of the distance between well and faults, flow rate, and

reservoir pressure on the calculation of permeability and skin factor. Figure 3 shows the Horner plots of

various distance between well and the corner of two intersecting faults from 176.8 ft to 742.5 ft. The

permeability and skin factor were estimated from the figure and Eqs 2 and 3. The values of permeability

and skin factor are given in Table 2. The table shows that there is a small fluctuation of permeability

and skin factor due the distance variation. The average value of k and s is 12.100.398 and -1.700.124,

respectively.

Figure 4 shows the Horner plots of various reservoir pressures from 553 psi to 1000 psi. The

permeability and skin factor due the variation of reservoir pressure are given in Table 3. The table also

shows that there is a small fluctuation of permeability and skin factor due the variation of reservoir

pressure. The average value of k and s is 12.520.218 and -1.300.217, respectively. Figure 5 shows the Horner plots of flow rate of PBU test from 102. 79 Mscfd to 1644.58 Mscfd. The

permeability and skin factor due the variation of flow rate are given in Table 4. The table shows that

there is a significant deviation of permeability and skin factor due the flow rate variation, especially for

flow rates of 822.29 Mscfd and 1644.58 Mscfd. Figure 6 shows the profile of flow rate for all scenarios.

It is obvious that the flow rates of 822.29 Mscfd and 1644.58 Mscfd are beyond the capacity of the well.

Accordingly, the well is not able to maintain the flow rates during flowing period. It makes a stabilized

pressure distribution cannot be established.

1,E+05

1,E+06

1,E+07

1,E+08

0,0001 0,001 0,01 0,1 1 10 100

m(d

p)'

, psi

2/c

p

t, hours

The 5th Annual Applied Science and Engineering Conference (AASEC 2020)IOP Conf. Series: Materials Science and Engineering 1098 (2021) 062018

IOP Publishingdoi:10.1088/1757-899X/1098/6/062018

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Figure 2. Pressure build up plot.

Table 2. The effect of distance on the estimation of k and s.

Distance, ft k, mD s

176.80 11.95 -1.77

318.20 12.69 -1.52

411.15 12.27 -1.63

601.00 11.95 -1.75

742.50 11.64 -1.83

Table 3. The effect of reservoir pressure on the determination of k and s.

Pr, psi k, mD s

553 12.27 -1.63

700 12.38 -1.37

800 12.48 -1.25

900 12.69 -1.16

1000 12.80 -1.07

Figure 3. The effect of the distance between well and faults on bottom-hole pressure behavior.

0

50000

100000

150000

200000

250000

300000

350000

400000

0,1 1 10 100 1000 10000

Pw

s2, p

si2

(tp+t)/t

200000

210000

220000

230000

240000

250000

260000

270000

280000

290000

300000

1 10 100

Pw

s2, p

si2

(tp+t)/t

L = 176.8 ft

L = 318.2 ft

L = 459.6 ft

L = 601 ft

L = 742.5 ft

The 5th Annual Applied Science and Engineering Conference (AASEC 2020)IOP Conf. Series: Materials Science and Engineering 1098 (2021) 062018

IOP Publishingdoi:10.1088/1757-899X/1098/6/062018

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Figure 4. The effect of reservoir pressure on bottom-hole pressure behavior.

Table 4. The effect of flow rate on the determination of k and s.

q, Mscfd k, mD s

102.79 12.48149 -1.18 205.57 13.85657 -0.889 411.15 12.26994 -1.63 822.29 16.07785 -2.45

1644.58 29.29977 -3.04

Figure 5. The effect of flow rate on bottom-hole pressure behavior.

0

100000

200000

300000

400000

500000

600000

700000

800000

900000

1000000

1 10 100

Pw

s2, p

si2

(tp+t)/t

Pr = 553 psi Pr = 700 psi Pr = 800 psi

Pr = 900 psi Pr = 1000 psi

300

50300

100300

150300

200300

250300

300300

350300

1 10 100

Pw

s2, p

si2

(tp+t)/t

q = 102.79 Mscfd

q = 205.57 Mscfd

q = 411.15 Mscfd

q = 822.29 Mscfd

q = 1644.58 Mscfd

The 5th Annual Applied Science and Engineering Conference (AASEC 2020)IOP Conf. Series: Materials Science and Engineering 1098 (2021) 062018

IOP Publishingdoi:10.1088/1757-899X/1098/6/062018

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Figure 6. The profile of flow rate during pressure build up test.

5. Conclusion

Based on the discussion presented above, several conclusions are made as follows. The effect of

variation of the distance between well and faults as well as that of reservoir pressure on estimation of

permeability and skin factor is not significant. The variation of flow rate may result in a significant

deviation. In order to avoid the deviation, the flow rate should be set so that it can be maintained during

flowing period of the pressure build up test.

References

[1] Jolley S, Fisher Q, and Ainsworth R 2010 Reservoir Compartmentalization: an Introduction

Geological Society London, Special Publications 347(1) 1 – 8

[2] Knipe R J, Jones G, and Fisher Q 1998 Faulting, Fault Sealing and Fluid Flow in Hydrocarbon

Reservoirs: an Introduction Geological Society, London, Special Publications 147(1) 7 – 21

[3] Osman M E 1988 Tarmat Behavior under Water Injection in a Reservoir with Tw Intersecting

Faults Society of Petroleum Engineers, SPE 15981 207 – 212

[4] Ispas V and Tiab D 1999 New Method of Analyzing the Pressure Behaviour of a Well Near

Multiple Boundary Systems Society of Petroleum Engineers, SPE 53933 1 – 16

[5] Escobar F H, Tiab D, and Campos S B 2003 Well Pressure Behavior of a Finite Conductivity

Fracture intersecting a Finite Sealing Fault Society of Petroleum Engineers Journal, SPE

80547 1 – 16

[6] Abdelaziz B, Sonatrach, and Tiab D 2004 Pressure Behaviour of a Well Between Two

Intersecting Leaky Faults Society of Petroleum Engineers, SPE 88873 1 – 17

[7] Molina O M, and Zeidouni M 2018 Detection of Fault Reactivation in Compartmentalized

Reservoirs Using Pressure Transient Analysis Society of Petroleum Engineers Journal, SPE

190130MS 1 – 18

[8] Obera J H and Peacock A 2010 Analyzing Pressure Transient Data from Growth Fault Reservoirs

in the Niger Delta Society of Petroleum Engineers Journal, SPE 140611 1 – 9

[9] Earlougher R C, Kazemi H 1980 Practicalities of Detecting Faults from Buildup Testing Journal

of Petroleum Technology 18 – 20

[10] Tiab, D and Chrichlow H B 1979 Pressure Analysis of Multiple Sealing Fault Systems and

Bounded Reservoirs by Type Curve Matching Society of Petroleum Engineers Journal, SPE

6755 378 – 392

[11] Earlougher R C 1977 Advance in Well Test Analysis Society of Petroleum Engineers of AIME,

New York

[12] Chaudhry A U 2004 Oil Well Testing Handbook Elsevier inc, Burlington

[13] Ezekwe N 2011 Petroleum Reservoir Engineering Practice Prentice Hall

[14] Maulana M H, Fathaddin M T, and Karyadi O H 2018 Well Test Analysis Using Pressure

0

200

400

600

800

1000

1200

0 20 40 60 80 100 120

q, M

scfd

t, hrs

q = 102.79 Mscfd

q = 205.57 Mscfd

q = 411.15 Mscfd

q = 822.29 Mscfd

q = 1644.58 Mscfd

The 5th Annual Applied Science and Engineering Conference (AASEC 2020)IOP Conf. Series: Materials Science and Engineering 1098 (2021) 062018

IOP Publishingdoi:10.1088/1757-899X/1098/6/062018

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Derivative Method at Gas Well X-1 Journal of Earth Energy Science, Engineering, and

Technology 1(1)

[15] Ahmed T and McKinney P 2004 Advanced Reservoir Engineering Gulf Professional Publishing

[16] Ahmed T and Meehan D N 2012 Advanced Reservoir Management and Engineering Second

Edition, Elsevier, Waltham

[17] Chaudhry A U 2004 Oil Well Testing Handbook Elsevier inc, Burlington

[18] Matthews C S and Russell D G 1967 Pressure Buildup and Flow Tests in Wells Society of

Petroleum Engineers of AIME

[19] Kushtanova G G 2015 Well Test Analysis: Teaching Textbook for the Course of Lecturer Kazan

University, Kazan

[20] Htein N, Williams D H, Cockcroft P J 1986 Application of Pressure Derivative in Analysis of

Indonesia Reservoir Proc. Indonesian Petroleum Association (Jakarta) 97 - 127

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Study of Pressure Behaviour of a well near two intersectionfaultsORIGINALITY REPORT

PRIMARY SOURCES

e-journal.uajy.ac.idInternet Source

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Jeirani, Z.. "Estimating the initial pressure,permeability and skin factor of oil reservoirsusing artificial neural networks", Journal ofPetroleum Science and Engineering, 20060116Publication

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Djebbar Tiab. "Pressure Analysis of Multiple-Sealing-Fault Systems and BoundedReservoirs by Type-Curve Matching", Societyof Petroleum Engineers Journal, 12/1979Publication

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Bensadok Abdelaziz. "Pressure Behaviour of aWell Between Two Intersecting Leaky Faults",Proceedings of Nigeria Annual InternationalConference and Exhibition NAICE, 08/2004Publication

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Mohamad B. Mousa, Nabaz Qader. "Dynamicmodel of Tertiary reservoir in Khabaz Oilfield", IOP Conference Series: MaterialsScience and Engineering, 2019Publication

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Adel Malallah. "Constant-Pressure Analysis ofOil Wells Intercepted by Infinite-ConductivityHydraulic Fracture Using Rate and Rate-Derivative Functions", Proceedings of SPEMiddle East Oil and Gas Show and ConferenceMEOS, 03/2007Publication

ebin.pub

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escholarship.orgInternet Source

www.intechopen.comInternet Source