### Abstract

We perform spontaneous imbibition experiments on three carbonates - Estaillades, Ketton, and Portland - which are three quarry limestones that have very different pore structures and span wide range of permeability. We measure the mass of water imbibed in air saturated cores as a function of time under strongly water-wet conditions. Specifically, we perform co-current spontaneous experiments using a highly sensitive balance to measure the mass imbibed as a function of time for the three rocks. We use cores measuring 37 mm in diameter and three lengths of approximately 76 mm, 204 mm, and 290 mm. We show that the amount imbibed scales as the square root of time and find the parameter C, where the volume imbibed per unit cross-sectional area at time t is Ct^{1/2}. We find higher C values for higher permeability rocks. Employing semi-analytical solutions for one-dimensional flow and using reasonable estimates of relative permeability and capillary pressure, we can match the experimental data. We finally discuss how, in combination with conventional measurements, we can use theoretical solutions and imbibition measurements to find or constrain relative permeability and capillary pressure.

Original language | English |
---|---|

Pages (from-to) | 88-94 |

Number of pages | 7 |

Journal | Advances in Water Resources |

Volume | 115 |

DOIs | |

Publication status | Published - 1 May 2018 |

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### Keywords

- Capillary dominated flow
- Capillary pressure
- Relative permeability
- Semi-Analytical solution
- Spontaneous imbibition

### ASJC Scopus subject areas

- Water Science and Technology

### Cite this

**Estimation of relative permeability and capillary pressure from mass imbibition experiments.** / Al Yafei, Nayef; Blunt, Martin J.

Research output: Contribution to journal › Article

*Advances in Water Resources*, vol. 115, pp. 88-94. https://doi.org/10.1016/j.advwatres.2018.03.003

}

TY - JOUR

T1 - Estimation of relative permeability and capillary pressure from mass imbibition experiments

AU - Al Yafei, Nayef

AU - Blunt, Martin J.

PY - 2018/5/1

Y1 - 2018/5/1

N2 - We perform spontaneous imbibition experiments on three carbonates - Estaillades, Ketton, and Portland - which are three quarry limestones that have very different pore structures and span wide range of permeability. We measure the mass of water imbibed in air saturated cores as a function of time under strongly water-wet conditions. Specifically, we perform co-current spontaneous experiments using a highly sensitive balance to measure the mass imbibed as a function of time for the three rocks. We use cores measuring 37 mm in diameter and three lengths of approximately 76 mm, 204 mm, and 290 mm. We show that the amount imbibed scales as the square root of time and find the parameter C, where the volume imbibed per unit cross-sectional area at time t is Ct1/2. We find higher C values for higher permeability rocks. Employing semi-analytical solutions for one-dimensional flow and using reasonable estimates of relative permeability and capillary pressure, we can match the experimental data. We finally discuss how, in combination with conventional measurements, we can use theoretical solutions and imbibition measurements to find or constrain relative permeability and capillary pressure.

AB - We perform spontaneous imbibition experiments on three carbonates - Estaillades, Ketton, and Portland - which are three quarry limestones that have very different pore structures and span wide range of permeability. We measure the mass of water imbibed in air saturated cores as a function of time under strongly water-wet conditions. Specifically, we perform co-current spontaneous experiments using a highly sensitive balance to measure the mass imbibed as a function of time for the three rocks. We use cores measuring 37 mm in diameter and three lengths of approximately 76 mm, 204 mm, and 290 mm. We show that the amount imbibed scales as the square root of time and find the parameter C, where the volume imbibed per unit cross-sectional area at time t is Ct1/2. We find higher C values for higher permeability rocks. Employing semi-analytical solutions for one-dimensional flow and using reasonable estimates of relative permeability and capillary pressure, we can match the experimental data. We finally discuss how, in combination with conventional measurements, we can use theoretical solutions and imbibition measurements to find or constrain relative permeability and capillary pressure.

KW - Capillary dominated flow

KW - Capillary pressure

KW - Relative permeability

KW - Semi-Analytical solution

KW - Spontaneous imbibition

UR - http://www.scopus.com/inward/record.url?scp=85043528849&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85043528849&partnerID=8YFLogxK

U2 - 10.1016/j.advwatres.2018.03.003

DO - 10.1016/j.advwatres.2018.03.003

M3 - Article

AN - SCOPUS:85043528849

VL - 115

SP - 88

EP - 94

JO - Advances in Water Resources

JF - Advances in Water Resources

SN - 0309-1708

ER -