Abstract

Capacitance resistance models (CRMs) comprise a family of material balance reservoir models that have been applied to primary, secondary and tertiary recovery processes. CRMs predict well flow rates based solely on previously observed production and injection rates, and producers’ bottomhole pressures (BHPs); i.e., a geological model and rock/fluid properties are not required. CRMs can accelerate the learning curve of the geological analysis by providing interwell connectivity maps to corroborate features such as sealing faults and channels, as well as diagnostic plots to determine sweep efficiency and reservoir compartmentalization. Additionally, it is possible to compute oil and water rates by coupling a fractional flow model to CRMs which enables, for example, optimization of injected fluids allocation in mature fields. This literature review covers the spectrum of the CRM theory and conventional reservoir field applications, critically discussing their advantages and limitations, and recommending potential improvements. This review is timely because over the last decade there has been a significant increase in the number of publications in this subject; however, a paper dedicated to summarize them has not yet been presented.

Highlights

  • The purpose of reservoir modeling and simulation is to promote understanding of multiphase porous media flow in geological formations enabling more effective field development strategies.there are several types of reservoir models that can be considered in this process ranging from simple analogs and decline curves to full physics models

  • Even though such physical meaning has been extended to the gains ( f ij ) in the Capacitance resistance models (CRMs) literature, one must be aware that it is applicable to patterned mature waterfloods when the injection rates and producer’s bottomhole pressures (BHPs) are approximately constant and there are no significant changes in the flow pattern, which is a very restrictive condition

  • Holanda et al [33] proposed a normalization of the Integrated Capacitance Resistance Model (ICRM) history matching objective functions based on the propagation of error of individual rates in the cumulative production; the results presented for two reservoirs showed better agreement with the connectivity estimates from control volumes in the producer based representation (CRMP) and CRMIP

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Summary

A State-of-the-Art Literature Review on Capacitance

Rafael Wanderley de Holanda 1,† , Eduardo Gildin 1, * , Jerry L. Current address: Petrobras America Inc., 10350 Richmond Ave, Houston, TX 77042, USA. Received: 24 September 2018; Accepted: 27 November 2018; Published: 1 December 2018

Introduction
Capacitance Resistance Models
Reservoir Control Volumes
CRMT: Single Tank Representation
CRMP: Producer Based Representation
CRMIP: Injector-Producer Pair Based Representation
CRM-Block
Multilayer CRM
Connectivities
Time Constants
CRM for Primary Production
CRM History Matching
Dimensionality Reduction
Alternative CRM Formulations
CRM Sensitivity to Data Quality and Uncertainty Analysis
Fractional Flow Models
Buckley–Leverett Adapted to CRM
Semi-Empirical Power-Law Fractional Flow Model
Koval Fractional Flow Model
CRM Enhanced Oil Recovery
CRM and Geomechanical Effects
CRM Field Development Optimization
Well Control
Well Placement
CRM in a Control Systems Perspective
CRM and Geology
Primary Recovery
Evolving Waterflood
Mature Waterflood
Tertiary Recovery
10. Other Reduced Complexity Models
11. Unresolved Issues and Suggestions for Future Research
11.1. Gas Content of Reservoir Fluids
11.2. Rate Measurements
11.3. Well-Orientation and Completion Type
11.4. Time-Varying Behavior of the CRM Parameters
11.5. CRM Coupling with Fractional Flow Models and Well Control Optimization
Findings
12. Conclusions
Full Text
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