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1. Introduction
In petroleum reservoir engineering, history matching is referred to the calibration process in which a reservoir simulation model is validated through matching simulation outputs (e.g. production rates, bottomhole pressures and phase ratios) with measurement history data. A traditional history matching technique is performed manually be engineering in which the most uncertain reservoir parameters are changed until satisfactory match is obtained between the model and history information. In addition to this trial and error history matching approach, there are number of other methods called assisted history matching where optimisation algorithms are used to minimise the objective function (misfit between model results and history data). These optimisation problems are normally including number of reservoir variables associated each with a feasible range or constraints (Shams, 2016). Assisted history matching techniques expects to bring efficiency and accuracy to the history matching of large complex reservoir models with various uncertainty in comparison to trial and error approach.
This report focuses on trial and error history matching of a tilted reservoir, Gretel Oil Field, which has only one producer and one injector and has been under production for 9 years. Reservoir exhibits heterogeneity in porosity and permeability throughout the field. When the history matching process of wells bottomhole pressure and water-cut is completed, the production forecast of the reservoir is implemented under four different scenarios for the next 10 years life of the reservoir. These scenarios are defined as below:
• Scenario -1: Bottomhole pressure constraint on both producer (2600 psia) and injector (3600 psia) and shut-in the producer if the rate falls below 500 STB/day.
• Scenario-2: Keeping constraints in scenario-1, the top layer at the production well is shut-in immediately.
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      • Illuminate\Cache\Events\CacheHit (291μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (274μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (334μs)
      • Illuminate\Cache\Events\CacheHit (4.42ms)
      • Illuminate\Cache\Events\CacheHit (790μs)
      • Illuminate\Cache\Events\CacheHit (11.23ms)
      • Illuminate\Cache\Events\CacheHit (319μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (295μs)
      • Illuminate\Cache\Events\CacheHit (314μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (247μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (351μs)
      • Illuminate\Cache\Events\CacheHit (355μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (147μs)
      • creating: site.layouts.app (525μs)
      • composing: site.layouts.app (41μs)
      • creating: components.canonical (407μs)
      • composing: components.canonical (106μs)
      • creating: components.open-graph (466μs)
      • composing: components.open-graph (197μs)
      • creating: site.headers.header (503μs)
      • composing: site.headers.header (83μs)
      • Illuminate\Cache\Events\CacheHit (11.35ms)
      • creating: components.footer (134μs)
      • composing: components.footer (135μs)
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      • Illuminate\Cache\Events\CacheHit (295μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (417μs)
      • Illuminate\Cache\Events\CacheHit (357μs)
      • Illuminate\Cache\Events\CacheHit (325μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (410μs)
      • Illuminate\Cache\Events\CacheHit (325μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • creating: components.forms.contact-us (472μs)
      • composing: components.forms.contact-us (350μs)
      • creating: components.forms.get-started (181μs)
      • composing: components.forms.get-started (89μs)
      • creating: components.forms.free-tool-download (105μs)
      • composing: components.forms.free-tool-download (8.37ms)
      • creating: components.forms.claim-free-worksheet (200μs)
      • composing: components.forms.claim-free-worksheet (122μs)
      • creating: components.forms.tutor-subscription-waitlist (110μs)
      • composing: components.forms.tutor-subscription-waitlist (69μs)
      • creating: components.forms.tutor-subscription-join (103μs)
      • composing: components.forms.tutor-subscription-join (68μs)
      • creating: components.forms.tutor-support (94μs)
      • composing: components.forms.tutor-support (181μs)
      • 315 x Illuminate\Cache\Events\CacheHit (31.23%)
        218ms
        16 x Illuminate\Database\Events\StatementPrepared (10.25%)
        71.50ms
        16 x Illuminate\Database\Events\QueryExecuted (6.76%)
        47.19ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (1.71%)
        11.95ms
        7 x Illuminate\Cache\Events\CacheMissed (1.39%)
        9.71ms
        1 x composing: components.forms.free-tool-download (1.2%)
        8.37ms
        7 x Illuminate\Cache\Events\KeyWritten (0.81%)
        5.63ms
        1 x Illuminate\Routing\Events\Routing (0.27%)
        1.91ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.16%)
        1.11ms
        8 x eloquent.retrieved: App\Models\SubjectCat (0.14%)
        964μs
        1 x Illuminate\Routing\Events\RouteMatched (0.11%)
        801μs
        1 x eloquent.booting: App\Models\SubjectCat (0.09%)
        618μs
        1 x creating: site.layouts.app (0.08%)
        525μs
        1 x creating: site.headers.header (0.07%)
        503μs
        17 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.07%)
        494μs
        1 x creating: components.forms.contact-us (0.07%)
        472μs
        1 x creating: homework.show (0.07%)
        470μs
        1 x creating: components.open-graph (0.07%)
        466μs
        1 x creating: components.breadcrumbs (0.06%)
        413μs
        1 x creating: components.canonical (0.06%)
        407μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)
        391μs
        1 x composing: components.forms.contact-us (0.05%)
        350μs
        2 x eloquent.retrieved: App\Models\Subject (0.04%)
        263μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        227μs
        1 x creating: components.forms.claim-free-worksheet (0.03%)
        200μs
        1 x composing: components.open-graph (0.03%)
        197μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        184μs
        1 x composing: components.breadcrumbs (0.03%)
        183μs
        1 x creating: components.forms.get-started (0.03%)
        181μs
        1 x composing: components.forms.tutor-support (0.03%)
        181μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        170μs
        1 x composing: components.footer (0.02%)
        135μs
        1 x creating: components.footer (0.02%)
        134μs
        1 x eloquent.booting: App\Models\Subject (0.02%)
        125μs
        1 x composing: homework.show (0.02%)
        124μs
        1 x composing: components.forms.claim-free-worksheet (0.02%)
        122μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        110μs
        1 x composing: components.canonical (0.02%)
        106μs
        1 x creating: components.forms.free-tool-download (0.02%)
        105μs
        1 x creating: components.forms.tutor-subscription-join (0.01%)
        103μs
        1 x creating: components.forms.tutor-support (0.01%)
        94μs
        1 x composing: components.forms.get-started (0.01%)
        89μs
        1 x composing: site.headers.header (0.01%)
        83μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        69μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        68μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        60μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        58μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        55μs
        1 x composing: site.layouts.app (0.01%)
        41μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET college-homework-library/{category}/{subject}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      16 statements were executed, 5 of which were duplicates, 11 unique. Show only duplicated96.39ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 13. app/Http/Controllers/HomeworkLibraryController.php:91
        • 14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '64464' limit 1
        33.05mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 64464
        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subjects` where `subjects`.`id` in (356)
        3.5mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (64464)
        1.26mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1
        2.1mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 10
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 64464 and `subject` = 356 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        8.85mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 64464
        • 1: 356
        • 2: published
        • 3: 0
        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (356)
        3.57mstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 64464 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.39mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 64464
        • 1: question
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 64464 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        7.58mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 64464
        • 1: teaser
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 64464 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.31mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 64464
        • 1: solution
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1
        6.49mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 10
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        2.32mstwenty4_siteSubject.php#100
        Bindings
        • 0: 1
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1
        6.05mstwenty4_siteSubject.php#100
        Bindings
        • 0: 3
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        1.11mstwenty4_siteSubject.php#100
        Bindings
        • 0: 4
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1
        6.97mstwenty4_siteSubject.php#100
        Bindings
        • 0: 10
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 33 limit 1
        7.22mstwenty4_siteSubject.php#100
        Bindings
        • 0: 33
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1
        3.62mstwenty4_siteSubject.php#100
        Bindings
        • 0: 11
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      17HomeworkLibraryFile.php
      App\Models\SubjectCat
      8SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\Subject
      2Subject.php
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          6cKig0EZL85uzxJ08i9dFgL68DtnCeAhlKSa3ljl
          utm_source
          direct
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          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Engineering/Pet...
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          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
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          request_request
          []
          
          request_headers
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          request_cookies
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