US20140019108A1 - Method for exploiting a geological reservoir from a reservoir model matched by the computation of an analytical law of conditional distribution of uncertain parameters of the model - Google Patents

Method for exploiting a geological reservoir from a reservoir model matched by the computation of an analytical law of conditional distribution of uncertain parameters of the model Download PDF

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US20140019108A1
US20140019108A1 US13/930,239 US201313930239A US2014019108A1 US 20140019108 A1 US20140019108 A1 US 20140019108A1 US 201313930239 A US201313930239 A US 201313930239A US 2014019108 A1 US2014019108 A1 US 2014019108A1
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reservoir
models
parameters
model
objective function
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Sebastien Da Veiga
Veronique Gervais-Couplet
Mathieu Feraille
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IFP Energies Nouvelles IFPEN
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01VGEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V20/00Geomodelling in general
    • E21B41/0092
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/28Design optimisation, verification or simulation using fluid dynamics, e.g. using Navier-Stokes equations or computational fluid dynamics [CFD]
    • EFIXED CONSTRUCTIONS
    • E21EARTH OR ROCK DRILLING; MINING
    • E21BEARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B41/00Equipment or details not covered by groups E21B15/00 - E21B40/00
    • EFIXED CONSTRUCTIONS
    • E21EARTH OR ROCK DRILLING; MINING
    • E21BEARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B2200/00Special features related to earth drilling for obtaining oil, gas or water
    • E21B2200/20Computer models or simulations, e.g. for reservoirs under production, drill bits

Definitions

  • a reservoir model constitutes an experimental model of the subsoil, representative of its structure and of its behavior.
  • this type of experimental model is represented on a computer, and it is then called a numerical model.
  • a reservoir model comprises a mesh, or grid, generally three-dimensional, associated with one or more maps of petrophysical properties (porosity, permeability, saturation, etc.). The association assigns values of the geophysical properties to each of the mesh cells of the grid.
  • History matching modifies the parameters of a reservoir model, such as the permeabilities, the porosities or the skins of wells (representing damage around the well), fault connections, etc., to minimize the deviations between the measured history data and the corresponding responses simulated on the basis of the reservoir model.
  • the parameters may be linked to geographic regions like the permeabilities or porosities around one or several wells.
  • the deviation between the history data and simulated responses forms a functional, called the objective function.
  • the history-matching problem is solved by minimizing this functional.
  • an objective function F( ⁇ ) is determined that measures a deviation between dynamic data y 1 , . . . , y n acquired during exploitation and dynamic data simulated by a flow simultator and the reservoir models belonging to the set;
  • y 1 , . . . , y n ) of conditional probability of the parameters ⁇ is determined from the knowledge of measured dynamic data y 1 , . . . , y n ;
  • the M 1 models added to the set are chosen using the approximation of the function G( ⁇ ).
  • FIG. 1 illustrates the method for exploiting an oil reservoir according to the invention.
  • the method comprises the following main steps:
  • an initial set of reservoir models is generated stochastically by the a priori law of probability p( ⁇ ) of each uncertain parameter.
  • a flow simulator f is used to compute the production response simulated with the reservoir models that are to be assessed (SIM);
  • the probabilistic matching is carried out with an initial experimental design of latin hypercube type LHS defining a set made up of 70 reservoir models, then with an addition of models in series of 10 at each iteration of the matching process.
  • the first 5 models added are chosen at the point where the response surface ⁇ tilde over (G) ⁇ ( ⁇ ) predicts large values, and the next 5 where the quality of the approximation of G( ⁇ ) is low in terms of high kriging variance.
  • the trend of the objective function during the procedure for adding models in the process of matching of the numerical model of the reservoir is given in FIG. 2 .
  • the darkest vertical bars mark the last simulation of the LHS and of each model addition series. It can then be seen that, after the first 70 exploration models (LHS), the points added in series of 10 indeed exhibit 5 first globally low values of the objective function, then 5 globally higher values.
  • conditional law of distribution is determined on the basis of the results of the step 3, that are compared to the exact a posteriori laws.

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Theoretical Computer Science (AREA)
  • General Life Sciences & Earth Sciences (AREA)
  • Fluid Mechanics (AREA)
  • General Engineering & Computer Science (AREA)
  • Geometry (AREA)
  • Geology (AREA)
  • Computer Hardware Design (AREA)
  • Evolutionary Computation (AREA)
  • Mathematical Physics (AREA)
  • Mathematical Optimization (AREA)
  • Mathematical Analysis (AREA)
  • Computing Systems (AREA)
  • Geophysics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mining & Mineral Resources (AREA)
  • Algebra (AREA)
  • Geochemistry & Mineralogy (AREA)
  • Environmental & Geological Engineering (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)
  • Operations Research (AREA)
  • Sampling And Sample Adjustment (AREA)
US13/930,239 2012-07-13 2013-06-28 Method for exploiting a geological reservoir from a reservoir model matched by the computation of an analytical law of conditional distribution of uncertain parameters of the model Abandoned US20140019108A1 (en)

Applications Claiming Priority (2)

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FR1202005A FR2993310B1 (fr) 2012-07-13 2012-07-13 Procede d'exploitation d'un reservoir geologique a partir d'un modele de reservoir cale par le calcul d'une loi analytique de distribution conditionnelle de parametres incertains du modele
FR12/02005 2012-07-13

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Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2017112033A1 (fr) * 2015-12-22 2017-06-29 Chevron U.S.A. Inc. Méthodologie pour construire des modèles stratigraphiques prospectifs numériques réalistes dans un environnement de données éparses
US10393923B2 (en) * 2014-05-19 2019-08-27 Total Sa Method of determining a map of height of liquid hydrocarbon in a reservoir
CN113240181A (zh) * 2021-05-19 2021-08-10 华中科技大学 一种水库调度运行滚动模拟方法及装置
US11268352B2 (en) * 2019-04-01 2022-03-08 Saudi Arabian Oil Company Controlling fluid volume variations of a reservoir under production
US11460595B2 (en) 2019-04-18 2022-10-04 Saudi Arabian Oil Company Unified continuous seismic reservoir monitoring
RU2783031C1 (ru) * 2022-01-31 2022-11-08 Публичное акционерное общество "Нефтяная компания "Роснефть" (ПАО "НК "Роснефть") Способ разработки нефтяной залежи
CN116464437A (zh) * 2023-04-23 2023-07-21 西南石油大学 一种碳酸盐岩气藏地层水产水量的预测方法

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113655521B (zh) * 2021-07-13 2022-06-14 华南理工大学 基于离散拉丁超立方抽样选波方法

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US20030028325A1 (en) * 2001-04-19 2003-02-06 Frederic Roggero Method of constraining by dynamic production data a fine model representative of the distribution in the reservoir of a physical quantity characteristic of the subsoil structure
US20080162100A1 (en) * 2006-12-28 2008-07-03 Chevron U.S.A. Inc. Method, system and program storage device for history matching and forecasting of hydrocarbon-bearing reservoirs utilizing proxies for likelihood functions
US20090043555A1 (en) * 2007-08-06 2009-02-12 Daniel Busby Method for Evaluating an Underground Reservoir Production Scheme Taking Account of Uncertainties
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US20120232865A1 (en) * 2009-09-25 2012-09-13 Landmark Graphics Corporation Systems and Methods for the Quantitative Estimate of Production-Forecast Uncertainty

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US8335677B2 (en) * 2006-09-01 2012-12-18 Chevron U.S.A. Inc. Method for history matching and uncertainty quantification assisted by global optimization techniques utilizing proxies

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US20030028325A1 (en) * 2001-04-19 2003-02-06 Frederic Roggero Method of constraining by dynamic production data a fine model representative of the distribution in the reservoir of a physical quantity characteristic of the subsoil structure
US20080162100A1 (en) * 2006-12-28 2008-07-03 Chevron U.S.A. Inc. Method, system and program storage device for history matching and forecasting of hydrocarbon-bearing reservoirs utilizing proxies for likelihood functions
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US20090198447A1 (en) * 2008-02-06 2009-08-06 Emmanuel Legendre System and method for displaying data associated with subsurface reservoirs
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Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US10393923B2 (en) * 2014-05-19 2019-08-27 Total Sa Method of determining a map of height of liquid hydrocarbon in a reservoir
WO2017112033A1 (fr) * 2015-12-22 2017-06-29 Chevron U.S.A. Inc. Méthodologie pour construire des modèles stratigraphiques prospectifs numériques réalistes dans un environnement de données éparses
US11268352B2 (en) * 2019-04-01 2022-03-08 Saudi Arabian Oil Company Controlling fluid volume variations of a reservoir under production
US11460595B2 (en) 2019-04-18 2022-10-04 Saudi Arabian Oil Company Unified continuous seismic reservoir monitoring
CN113240181A (zh) * 2021-05-19 2021-08-10 华中科技大学 一种水库调度运行滚动模拟方法及装置
RU2783031C1 (ru) * 2022-01-31 2022-11-08 Публичное акционерное общество "Нефтяная компания "Роснефть" (ПАО "НК "Роснефть") Способ разработки нефтяной залежи
CN116464437A (zh) * 2023-04-23 2023-07-21 西南石油大学 一种碳酸盐岩气藏地层水产水量的预测方法
US20240354787A1 (en) * 2023-04-23 2024-10-24 Southwest Petroleum University Prediction method for formation water yield of carbonate gas reservo

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CA2821099C (fr) 2020-05-12
EP2685291A3 (fr) 2016-12-14
EP2685291A2 (fr) 2014-01-15
EP2685291B1 (fr) 2022-03-09
FR2993310A1 (fr) 2014-01-17
FR2993310B1 (fr) 2014-08-29
CA2821099A1 (fr) 2014-01-13

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