Citation: Behravan, A.; Ley, M.T.;
Cook, D.; Hu, Q.; Rywelski, A.;
Brorsen, R. Measuring the Diffusion
Coefficient of Paste and Concrete by
Using Dental X-ray Equipment.
CivilEng 2023, 4, 224–247.
https://doi.org/10.3390/
civileng4010014
Academic Editors: Angelo Luongo
and Francesco D’Annibale
Received: 28 December 2022
Revised: 20 February 2023
Accepted: 21 February 2023
Published: 24 February 2023
Copyright: © 2023 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 (https://
creativecommons.org/licenses/by/
4.0/).
Article
Measuring the Diffusion Coefficient of Paste and Concrete by
Using Dental X-ray Equipment
Amir Behravan
1,2,
*, M. Tyler Ley
2
, Dan Cook
2
, Qinang Hu
2
, Anna Rywelski
2
and Russell Brorsen
3
1
Virginia Transportation Research Council (VTRC), Charlottesville, VA 22903, USA
2
School of Civil & Environmental Engineering, Oklahoma State University, 248 Engineering North,
Stillwater, OK 74078, USA
3
Brorsen Family Dental Clinic, Stillwater, OK 74075, USA
* Correspondence: amir.behravan@vdot.virginia.gov
Abstract: The penetration of ions plays an important role in the durability of concrete structures. This
study aims to establish the feasibility of using dental X-ray equipment to measure the concentration
and penetration of iodide within cementitious systems. This technique is known as checking ion
penetration (CHIP). This test uses iodide as a tracer because it has a high electron density, and so
it can be observed with X-ray imaging as it penetrates the concrete. Concentration profiles from
CHIP are used to calculate the apparent diffusion coefficient (D
ac
). These results are similar to
measurements from bulk chloride ponding tests. The D
ac
is used to predict the service life or evaluate
the quality of an as-built concrete structure or concrete mixture. Because of the wide availability
of dental equipment, CHIP shows promise to be used as a method to measure the in-place quality
control of the concrete.
Keywords: X-ray microscopy; TXM; chloride intrusion; service life; durability; corrosion; CHIP;
dental X-ray
1. Introduction
Concrete has been used for over a century as the building material of choice for long
service life. The durability of concrete is often threatened by the transport of outside ions
that cause deterioration of the concrete or the reinforcing [1]. The most common way to
quantify the resistance to outside chemical penetration is by using electrical methods to
indirectly investigate the microstructure. The most common electrical tests are the rapid
chloride permeability test (ASTM C1202) and the electrical resistivity tests (AASHTO TP95
and ASTM C 1760). These tests have challenges predicting the resistance to outside chemi-
cals when supplementary cementing materials (SCMs), certain chemical admixtures, steel
fibers, and some particular aggregates are used in the mixtures, or when the tempera-
ture/moisture or amount of carbonation content varies within the mixtures [2–10].
The most trusted method to investigate ion ingress into cement-based materials is the
bulk diffusion test. This test is completed by placing a salt solution on top of the sample
as described in ASTM C 1556 and AASHTO T259, followed by a titration test on powder
taken at different depths within the sample [11–14]. Because the powder from the concrete
contains about 75% aggregate and 25% paste by volume, a large amount of powder is
needed to be sure that the chlorides in the paste are well characterized. These tests are
time-consuming and labor-intensive, and so they are not widely used.
Several studies have used X-ray imaging techniques to simplify the ASTM C 1556 test.
Some of these include using X-ray fluorescence (XRF) and X-ray microtomography [15–26].
The equipment needed for these measurements is expensive, time-consuming, and needs
significant sample preparation. Recently, transmission X-ray microscopy (TXM) using
μCT equipment has been used to place iodide in water and observe the change in X-ray
absorption. TXM is useful because it is non-destructive, fast, requires minimal sample
CivilEng 2023, 4, 224–247. https://doi.org/10.3390/civileng4010014 https://www.mdpi.com/journal/civileng