Treatment of Individual Wells and Grids in Reservoir Modeling

Author:

Van Poollen H.K.1,Breitenbach E.A.2,Thurnau D.H.2

Affiliation:

1. Marathon Oil Co.

2. Scientific Software Corp.

Abstract

Abstract Reservoir modeling, mathematical modeling, or simulation of a petroleum or natural gas reservoir enables the engineer to examine and evaluate the physical a-nd economic consequences of various physical a-nd economic consequences of various alternative production policies. Approximations are inherent in all workable, economical simulators. This paper describes three workable, useful approximations. (1)a method to compare observed field pressures with those calculated by a numerical simulator, (2) a method to reduce three-dimensional problems to two space dimensions with pseudo-third-dimensional features, and (3) a method to calculate the productivity index (PI) and the water-oil ratio (WOR) in a partially penetrating well partially penetrating well These methods, although admittedly approximations, are workable and have been found to be very useful. Their general utility will, however, depend upon the extent to which any underlying assumptions used in their formulation apply to a particular problem. particular problem Introduction The objectives, applications and mathematical background of reservoir modeling have been described in other works. Ideally networks should be as shown in Fig. 1. Here, the grids are smaller near the wellbore than farther away. However, the number of grid points becomes large, even in a two-dimensional grid. Also, the small block sizes force one to use very small time steps, which can increase the computer time to the point of rendering the study economically unfeasible. Fig. 1 shows an example where the wells are located on a regular pattern. If that pattern becomes irregular enough, all cells pattern becomes irregular enough, all cells eventually will have to be small. In order to proceed with a study, modelers are forced to use linger grid sizes, as shown in Fig. 2. We realize that, by using large grid sizes, the fundamental flow equations are not truly represented. The network approaches a set of interconnected material balances with flow terms as a function of pressures and saturations. This paper describes the present method of handling wellbores in models with grid sizes many times the wellbore diameters. A method to compare pressures observed in the field with those calculated in the model is presented. A method also is given to reduce three- dimensional problems to two-dimensional grids. SPEJ P. 341

Publisher

Society of Petroleum Engineers (SPE)

Subject

General Engineering

Cited by 23 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Fundamentals in Peaceman model for well-block radius for non-linear flows near well;Applied and Computational Mathematics;2024

2. Non-linear flow simulations with corrected Peaceman formula for well pressure calculation;11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES;2023

3. A modified well index to account for shear-thinning behaviour in foam EOR simulation;Journal of Petroleum Science and Engineering;2020-08

4. Cumulative References;Reservoir Simulation and Well Interference;2020-01-30

5. Well modelling methods in thermal reservoir simulation;Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles;2020

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3