A novel methodology for synthesizing the wetting capillary pressure curve of rocks through sorptivity data

Ernestos Sarris, Elias Gravanis, Ioannis Ioannou

Research output: Contribution to journalArticle

Abstract

Capillary pressure as a function of moisture content is an essential element in the modelling of multiphase flow in porous media, such as rocks. The constitutive relationship predicting the capillary pressure as a function of fluid saturation in these materials has been the focus of many studies in the literature, as the direct experimental determination of the former is usually time-consuming and not quite straightforward, owing to the topologically complicated pore structure of rocks. In this paper, we perform a systematic analysis of the interrelation between capillary pressure curves (CPC)and the corresponding imbibition curves to evaluate the parameters influencing the entire diffusive process. The aim is the reconstruction of the wetting CPC from sorptivity test data through back analysis, within the framework of the Van Genuchten model. We perform numerical simulations with finite elements, using as input synthetic models of CPC with one, two and three degrees of freedom, the latter being the widely accepted Van Genuchten model. The effectiveness and the limitations of the different models used and the sensitivity of the imbibition curves to each degree of freedom are investigated and critically evaluated. The whole investigation is assisted by theoretical estimations of the sorptivity coefficient, as a function of the model parameters and the measured quantities. The results of our analysis provide not only a clarification of the aforementioned interrelation, but also a relatively simple procedure for reconstructing synthetically the wetting CPC.

Original languageEnglish
Pages (from-to)413-423
Number of pages11
JournalJournal of Petroleum Science and Engineering
Volume180
DOIs
Publication statusPublished - 1 Sep 2019

Fingerprint

Capillarity
capillary pressure
wetting
Wetting
Rocks
methodology
rock
imbibition
back analysis
Multiphase flow
multiphase flow
Pore structure
Porous materials
porous medium
moisture content
Moisture
saturation
Fluids
fluid
Computer simulation

Keywords

  • Back analysis
  • Capillary pressure curve
  • Finite element analysis
  • Sorptivity test
  • Synthetic reconstruction of wetting curve
  • Van Genuchten model

Cite this

@article{e4664fc0a38a42d5a57cf228e632d51a,
title = "A novel methodology for synthesizing the wetting capillary pressure curve of rocks through sorptivity data",
abstract = "Capillary pressure as a function of moisture content is an essential element in the modelling of multiphase flow in porous media, such as rocks. The constitutive relationship predicting the capillary pressure as a function of fluid saturation in these materials has been the focus of many studies in the literature, as the direct experimental determination of the former is usually time-consuming and not quite straightforward, owing to the topologically complicated pore structure of rocks. In this paper, we perform a systematic analysis of the interrelation between capillary pressure curves (CPC)and the corresponding imbibition curves to evaluate the parameters influencing the entire diffusive process. The aim is the reconstruction of the wetting CPC from sorptivity test data through back analysis, within the framework of the Van Genuchten model. We perform numerical simulations with finite elements, using as input synthetic models of CPC with one, two and three degrees of freedom, the latter being the widely accepted Van Genuchten model. The effectiveness and the limitations of the different models used and the sensitivity of the imbibition curves to each degree of freedom are investigated and critically evaluated. The whole investigation is assisted by theoretical estimations of the sorptivity coefficient, as a function of the model parameters and the measured quantities. The results of our analysis provide not only a clarification of the aforementioned interrelation, but also a relatively simple procedure for reconstructing synthetically the wetting CPC.",
keywords = "Back analysis, Capillary pressure curve, Finite element analysis, Sorptivity test, Synthetic reconstruction of wetting curve, Van Genuchten model",
author = "Ernestos Sarris and Elias Gravanis and Ioannis Ioannou",
year = "2019",
month = "9",
day = "1",
doi = "10.1016/j.petrol.2019.05.052",
language = "English",
volume = "180",
pages = "413--423",
journal = "Journal of Petroleum Science and Engineering",
issn = "0920-4105",
publisher = "Elsevier",

}

A novel methodology for synthesizing the wetting capillary pressure curve of rocks through sorptivity data. / Sarris, Ernestos; Gravanis, Elias; Ioannou, Ioannis.

In: Journal of Petroleum Science and Engineering, Vol. 180, 01.09.2019, p. 413-423.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A novel methodology for synthesizing the wetting capillary pressure curve of rocks through sorptivity data

AU - Sarris, Ernestos

AU - Gravanis, Elias

AU - Ioannou, Ioannis

PY - 2019/9/1

Y1 - 2019/9/1

N2 - Capillary pressure as a function of moisture content is an essential element in the modelling of multiphase flow in porous media, such as rocks. The constitutive relationship predicting the capillary pressure as a function of fluid saturation in these materials has been the focus of many studies in the literature, as the direct experimental determination of the former is usually time-consuming and not quite straightforward, owing to the topologically complicated pore structure of rocks. In this paper, we perform a systematic analysis of the interrelation between capillary pressure curves (CPC)and the corresponding imbibition curves to evaluate the parameters influencing the entire diffusive process. The aim is the reconstruction of the wetting CPC from sorptivity test data through back analysis, within the framework of the Van Genuchten model. We perform numerical simulations with finite elements, using as input synthetic models of CPC with one, two and three degrees of freedom, the latter being the widely accepted Van Genuchten model. The effectiveness and the limitations of the different models used and the sensitivity of the imbibition curves to each degree of freedom are investigated and critically evaluated. The whole investigation is assisted by theoretical estimations of the sorptivity coefficient, as a function of the model parameters and the measured quantities. The results of our analysis provide not only a clarification of the aforementioned interrelation, but also a relatively simple procedure for reconstructing synthetically the wetting CPC.

AB - Capillary pressure as a function of moisture content is an essential element in the modelling of multiphase flow in porous media, such as rocks. The constitutive relationship predicting the capillary pressure as a function of fluid saturation in these materials has been the focus of many studies in the literature, as the direct experimental determination of the former is usually time-consuming and not quite straightforward, owing to the topologically complicated pore structure of rocks. In this paper, we perform a systematic analysis of the interrelation between capillary pressure curves (CPC)and the corresponding imbibition curves to evaluate the parameters influencing the entire diffusive process. The aim is the reconstruction of the wetting CPC from sorptivity test data through back analysis, within the framework of the Van Genuchten model. We perform numerical simulations with finite elements, using as input synthetic models of CPC with one, two and three degrees of freedom, the latter being the widely accepted Van Genuchten model. The effectiveness and the limitations of the different models used and the sensitivity of the imbibition curves to each degree of freedom are investigated and critically evaluated. The whole investigation is assisted by theoretical estimations of the sorptivity coefficient, as a function of the model parameters and the measured quantities. The results of our analysis provide not only a clarification of the aforementioned interrelation, but also a relatively simple procedure for reconstructing synthetically the wetting CPC.

KW - Back analysis

KW - Capillary pressure curve

KW - Finite element analysis

KW - Sorptivity test

KW - Synthetic reconstruction of wetting curve

KW - Van Genuchten model

UR - http://www.scopus.com/inward/record.url?scp=85066286225&partnerID=8YFLogxK

U2 - 10.1016/j.petrol.2019.05.052

DO - 10.1016/j.petrol.2019.05.052

M3 - Article

VL - 180

SP - 413

EP - 423

JO - Journal of Petroleum Science and Engineering

JF - Journal of Petroleum Science and Engineering

SN - 0920-4105

ER -