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Dersin Ad Course Name

Saysal Rezervuar Simlasyonu Numerical Reservoir Simulation

Kodu

(Code)

Yaryl(Semester)

Kredisi

(Local Credits)

AKTS Kredisi

(ECTS Credits)

Ders Tr(Course Type)

PET513EGz

(Fall)3.0 7.5

Yksek Lisans(M.Sc.)

Lisansst Program(Graduate Program)

Petrol ve Doal Gaz Mhendislii(Petroleum and Natural Gas Engineering)

Dersin Tr(Course Type)

Zorunlu(Compulsory)

Dersin Dili

(Course Language)

ngilizce(English)

Dersin erii

(Course Description)

Simlasyonda gerekli temel rezervuar mhendislii ve matematiksel kavramlar; Gzenekli ortamda akkanakn tanmlayan temel denklemlerin tretilmesi (sreklilik, difzivite denklemi); Balang-snr deerproblemlerinin zmlenmesinde kullanlabilecek saysal yntemler (sonlu farklar); Elek sistemleri (nokta veblok merkezli grid sistemleri); Eksplisit ve implisit yntemler; 1-B ok kuyulu tek fazl az sktrlabilirlikliakkan aknn simlasyonu); Kuyuya 1-B evrel tek fazl (petrol veya gaz) akn simlasyonu; Dorusalolmayan denklemlerin simlasyonda deerlendirilmesi (Newton ve foksiyonel iterasyon yntemleri); 1 -B iki

fazl ak simlasyonu (IMPES ve dier yntemler); Kuyularn 2-B (x-y sisteminde) modellenmesi(Peaceman yaklam); 2-B (x-y sistem) ok kuyulu tek fazl az sktrlabilirlikli akkan aknnsimlasyonu; rencilerin ders srasnda gelitirecekleri kendi ak simlatrleri ile blmmz bilgisayarlaboratuarnda mevcut ticari simlatrlerle kyaslama yapabilecekleri eitli uygulamalar.Basic mathematical and reservoir engineering concepts required in numerical reservoir simulation; Derivationof basic fluid flow equations in porous media (continuity, diffusivity); Numerical solution techniques (finite

difference techniques); Grid systems (point- and block-centered grids); Explicit and implicit methods;Simulation of 1-D linear flow of slightly compressible fluid of constant viscosity; 1-D single phase (either oilor gas) radial flow towards a fully penetrating vertical well in circular reservoir; Treatment of nonlinear termsin simulation; 1-D two phase flow simulation (IMPES and other related methods); Incoporation of

production/injection wells in x-y systems (Peaceman approach); Simulation of 2-D single phase flow ofslightly compressible fluid; several applications based on simulators to be developed by students taking the

course and comparisons of their results with available commercial simulators in the department.

Dersin Amac

(Course Objectives)

1. Saysal rezervuar simlasyonunun temellerini renmek, 2. Gzenekli ortamda ak tanmlayan temel denklemleri renmek,3. Rezervuar simlasyonunda kullanlan elek sistemlerini renmek,4. 1B, 2B ve 3B sistemler iin ak denklemlerinin sonlu farklar yntemiyle zlmesini renmek,5. Kuyu modellemesi renmek,6. ki fazl ak problemlerinin zmn renmek,7. Radyal sistemlerde ak denklemlerinin sonlu farklar yntemiyle zmn renmek,8. Tek fazl gaz akn renmek.1. To learn the fundamentals of numerical reservoir simulation,2. To learn the fundamental equations that describe flow in porous media,3. To learn the basic grid systems used in numerical reservoir simulation,4. Learn to solve the equation that describe fluid flow in porous media for 1D, 2D and 3D systems using

the finite diference method,

5. To learn well modeling,6. Learn to solve problems of two phase flow,7.

Learn to solve the equations that describe fluid flow in porous media for radial systems,8. To learn about single phase gas flow.

Dersin renmektlar

(Course Learning

Outcomes)

Bu dersi baaryla tamamlayan lisansst renciler aadaki konularda bilgi, beceri ve yetkinlik kazanrlar;I. Saysal rezervuar simlasyonun temellerini bilmek,

II. Gzenekli ortamda akkan akn tanmlayan denklemleri bilmek,III. Rezervuar simlasyonunda kullanlan elek sistemlerini bilmek,IV. Gzenekli ortamda akkan akn tanmlayan denklemlerin sonlu farklar yntemiyle zmn 1B, 2B,

3B ve radyal sistemler iin bilmek,V. ok fazl ak iin denklem zmlerini gelitirebilmek,Graduate students who successfully complete this course gain knowledge, skills and proficiency in the

following subjects;I. To know the fundamentals of numerical reservoir simulation,

II. To know the fundamental equations that describe fluid flow in porous media,III. To know the grids used in numerical reservoir simulation,IV. To know how to solve the fundamental equations describing fluid flow using the finite diference

method for 1D, 2D, 3D and radial systems,V. To know how to solve the equations for multiphase flow systems.

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Kaynaklar

(References)

1. Aziz, K., Settari, A. (1979).Petroleum Reservoir Simulation,Applied Publishers Ltd., London.

2. Thomas, G. W. (1982).Principles of Hydrocarbon ReservoirSimulation, IHRDC Publishers, Boston.

3. Peaceman, W. D. (1977).Fundamentals of Numerical ReservoirSimulation, Elsevier Scientific Publishing Co., Amseterdam.

4. Coats et al. (1973).Numerical Simulation, SPE Reprint Seriesno. 11, SPE, Dallas.

5. Versteeg, H. K., Malalasera. (1995).An Introduction toComputational Fluid Dynamics, Longman, New York.

6. Mattax, C. C., Dalton, R.L., (1990).Reservoir Simulation, SPEMonograph Vol. 13, SPE, Dallas.

devler ve Projeler

(Homework & Projects)

rencilere yaklak 4-5 dev verilecektir. Bunun yanndarencilerin bu dersi verebilmeleri iin iki adet proje tamamlamalargerekmektedir.

The students will complete 4-5 homeworks and two main projects tocomplete the course.

Laboratuar

Uygulamalar

(Laboratory Work)

Bilgisayar Kullanm

(Computer Use)

renciler projelerde bilgisayar program yazacaklar ve ayrca paketprogramlar kullanacaklar.

The students will program their own code for the projects and will

use commercial software.

Dier Uygulamalar

(Other Activities)

Baar DeerlendirmeSistemi

(Assessment Criteria)

Faaliyetler

(Activities)

Adedi

(Quantity)

DeerlendirmedekiKatks, %

(Effects on Grading, %)

Yl i Snavlar(Midterm Exams)

1 % 15

Ksa Snavlar(Quizzes)

devler(Homework)

4-5 % 15

Projeler

(Projects)2 %30

Dnem devi/Projesi(Term Paper/Project)

Laboratuar Uygulamas(Laboratory Work)

Dier Uygulamalar(Other Activities)

Final Snav(Final Exam)

1 % 40

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DERS PLANI

Hafta Konular

Dersin

ktlar

1 Saysal rezervuar simlasyonuna giri I

2 Sreklilik ve difzyon denklemlerinin kartlmas II3 Saysal rezervuar simlasyonunda kullanlan elek sistemleri III4 1B sistemler iin difzyon denkleminin sonlu farklar ile zm IV5 2B sistemler iin difzyon denkleminin sonlu farklar ile zm IV6 Btnlemi sonlu farklar yntemiyle zmler IV7 Kuyu modellemesi IV

8 ok fazl ak problemleri iin denklemlerin kartlmas V9 ok fazl ak problemleri iin denklem zmleri V

10 IMPES yaklam V11 Radyal sistemler iin denklem zmleri IV12 Tek fazl gaz ak IV

13 Tek fazl gaz ak IV14 Gzenekli ortamda s ak problemlerine giri IV

COURSE PLAN

Weeks Topics

Course

Outcomes

1 Introduction to numerical reservoir simulation I

2 Derivation of the continuity and the diffusion equations II

3 Grids used in numerical reservoir simulation III

4 Solution of the Diffusion equation with the finite difference method for 1D

systems

IV

5 Solution of the Diffusion equation with the finite difference method for 2D

systems

IV

6 Solutions with the integrated finite difference method IV

7 Well modeling IV

8 Derivation of equations for multiphase flow V

9 Solutions to the equations for multiphase flow V10 The IMPES approach V

11 Solution of equations for radial flow IV

12 Single phase gas flow IV

13 Single phase gas flow IV

14 Introduction to heat flow problems in porous media IV

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Dersin Petrol ve Doal Gaz Mhendislii Programyla likisi

1. Az, 2. Ksmi, 3. Tam

Relationship Between the Course and Petroleum and Natural Gas Engineering Curriculum

Programn mezuna kazandraca bilgi, beceri ve yetkinlikler (programa aitktlar)

KatkSeviyesi

1 2 3

i. Lisans dzeyi yeterliliklerine dayal olarak,ilgili program alannda bilgilerini

uzmanlk dzeyinde gelitirebilme ve derinletirebilme (Yeterli Bilgi Birikimi)(Bilgi).

+

ii. Alannn ilikili olduu disiplinleraras etkileimi kavrayabilme (Bilgi).+

iii. Alannda edindii uzmanlk dzeyindeki kuramsal ve uygulamal bilgilerikullanabilme ve alan ile ilgili karlalan sorunlar aratrma yntemlerinikullanarak zmleyebilme (Beceri).

+

iv. Alannda edindii bilgileri farkl disiplin alanlarndan gelen bilgilerlebtnletirerek yorumlayabilme, yeni bilgiler oluturabilme ve disiplinlerarasalmalarda kullanabilme (Beceri).

+

v. Alan ile ilgili uzmanlk gerektiren bir almay bamsz olarak yrtebilme vealan ile ilgili uygulamalarda karlalan karmak sorunlarn zm iin yeniyaklamlar gelitirebilme ve sorumluluk alarak, gerektiinde liderlik yaparak,zm retebilme (Bamsz alabilme ve Sorumluluk Alabilme Yetkinlii).

+

vi. Alannda edindii uzmanlk dzeyindeki bilgi vebecerileri eletirel bir yaklamladeerlendirebilme ve renmesini ynlendirebilme ( renme Yetkinlii).

+

vii. Alanndaki gncel gelimeleri ve kendi almalarn, nicel ve nitel veriler iledestekleyerek, alanndaki ve alan dndaki gruplara, ngilizceyi en az Avrupa DilPortfy B2 genel dzeyinde kullanarak, yazl, szl ve grsel olarak sistemli

biimde aktarabilme (letiim ve Sosyal Etkinlik).

+

viii. Alannn gerektirdii dzeyde bilgisayar yazlm ile birlikte biliim ve iletiim

teknolojilerini ileri dzeyde kullanabilme (letiim ve Sosyal Etkinlik).+

ix. Alan ile ilgili verilerin toplanmas, yorumlanmas, uygulanmas ve duyurulmasaamalarnda toplumsal, bilimsel, kltrel ve etik deerleri gzeterekdenetleyebilme ve retebilme (Alana zg Etkinlik).

+

x. Alan ile ilgili konularda strateji, politika ve uygulama planlar gelitirebilme ve elde edilensonular, kalite sreleri erevesinde deerlendirebilme (Alana zg Etkinlik). +

Program Outcomes

Level of

Contribution1 2 3

i. Based upon the undergraduate level competency, developing and intensifying +

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1. Little, 2. Partial, 3. Full

Dzenleyen (Prepared by)

mer nan Treyen

Tari h (Date)

26 / 06 / 2011

mza (Signature)

the knowledge in the program area (Knowledge).

ii. Grasping the interdisciplinary interaction related to the program area

(Knowledge). +iii. Ability to use the theoretical and practical knowledge, and solving the

problems in the program area thru research methods (Skill). +iv. Ability to interpret and reach new knowledge by integrating knowledge from

the different disciplines with the related area, and to use in interdisciplinary

practices (Skill). +v. Conducting a specialized study within the related area independently;

developing new strategic approaches and solutions for the complex problems

within the related area, fulfilling the leader role if necessary, while reaching

results (Competence to Work Independently and Taking Responsibility).+

vi. Ability to develop learning competence and evaluate the knowledge and skills

within the related area critically (Learning Competence). +vii. Establishing written, oral, and visual communications systematically to present

the updated knowledge within the related area and individual practicessupported by qualitative and quantitative data, using the English languagewith at least European Language Portfolio B2 Level- if needed

(Communication and Social Competency).

+

viii

.

Ability to use high level computer and communication technologies within the

computer software required in the related area (Communication and Social

Competency).

+

ix. Ability to promote and teach the social, scientific, cultural and ethical values in

the stages of gathering, interpreting, implementing, and announcing the data

within the related area (Area Specific Competency).

+

x. Developing the area-related strategic, political and implementation plans and

evaluating their results within the quality progress (Area SpecificCompetency).

+

Dersin Ad Course Name

leri retim Mhendislii Advanced Production Engineering