TY - JOUR

T1 - Ionic fracture fluid leak-off

AU - Shelukhin, Vladimir

AU - Epov, Mikhail

N1 - Publisher Copyright: © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

PY - 2019/2/19

Y1 - 2019/2/19

N2 - The study is motivated by monitoring the space orientation of a hydrolic fracture used in oil production. Streaming potential arises due to the leakage of ionic fracking fluid under the rock elastic forces which make the fracture disclosure disappear after pumping stops. The vector of electric field correlates with the fracture space orientation since the fluid leakage is directed normally to the fracture surfaces. We develop a mathematical model for the numerical evaluation of the streaming potential magnitude. To this end, we perform an asymptotic analysis taking advantage of scale separation between the fracture disclosure and its length. The contrast between the virgin rock fluid and the fluid invading from the fracture is proved to be crucial in a build up of a net charge at the invasion front. Calculations reveal that an increase of the viscosity and resistivity contrast parameters results in an increase of the streaming potential magnitude. Such a conclusion agrees with laboratory experiments.

AB - The study is motivated by monitoring the space orientation of a hydrolic fracture used in oil production. Streaming potential arises due to the leakage of ionic fracking fluid under the rock elastic forces which make the fracture disclosure disappear after pumping stops. The vector of electric field correlates with the fracture space orientation since the fluid leakage is directed normally to the fracture surfaces. We develop a mathematical model for the numerical evaluation of the streaming potential magnitude. To this end, we perform an asymptotic analysis taking advantage of scale separation between the fracture disclosure and its length. The contrast between the virgin rock fluid and the fluid invading from the fracture is proved to be crucial in a build up of a net charge at the invasion front. Calculations reveal that an increase of the viscosity and resistivity contrast parameters results in an increase of the streaming potential magnitude. Such a conclusion agrees with laboratory experiments.

KW - Hydro-fracture

KW - Ionic fluid flows in a porous medium

KW - Streaming potential

KW - streaming potential

KW - BOREHOLE

KW - ZONE

KW - EQUATIONS

KW - MODEL

KW - ionic fluid flows in a porous medium

KW - hydro-fracture

KW - HOMOGENIZATION

UR - http://www.scopus.com/inward/record.url?scp=85063377548&partnerID=8YFLogxK

U2 - 10.3390/fluids4010032

DO - 10.3390/fluids4010032

M3 - Article

AN - SCOPUS:85063377548

VL - 4

JO - Experiments in Fluids

JF - Experiments in Fluids

SN - 0723-4864

IS - 1

M1 - 32

ER -