Numerical simulation study on the effect of temperature on the restricted diffusion in porous media

It is of great significance to study how temperature affects the restricted diffusion in pores for an accurate evaluation of reservoir physical properties by using nuclear magnetic resonance (NMR) diffusion-transverse relaxation (D-T2) spectrum under reservoir temperature conditions. In this paper,...

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Main Authors: Zhen Xie, Lizhi Xiao, Sihui Luo, Guangzhi Liao
Format: Article
Language:English
Published: KeAi Communications Co. Ltd. 2023-05-01
Series:Magnetic Resonance Letters
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2772516223000190
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author Zhen Xie
Lizhi Xiao
Sihui Luo
Guangzhi Liao
author_facet Zhen Xie
Lizhi Xiao
Sihui Luo
Guangzhi Liao
author_sort Zhen Xie
collection DOAJ
description It is of great significance to study how temperature affects the restricted diffusion in pores for an accurate evaluation of reservoir physical properties by using nuclear magnetic resonance (NMR) diffusion-transverse relaxation (D-T2) spectrum under reservoir temperature conditions. In this paper, we simulate the restricted diffusion and two-dimensional (2D) NMR D-T2 spectra of water molecules at different temperatures using random-walk method. The one-dimensional (1D) restricted diffusion simulation results show that the diffusion coefficient in the pore at room temperature decays with the diffusion time and eventually reaches a plateau. Under the condition of long-time diffusion, the ratio of restricted diffusion coefficient to bulk diffusion coefficient at different temperatures tends to be the same constant. With the increase in temperature, the simulated D-T2 spectra also gradually move upward. The simulated D-T2 spectra at all temperatures are consistent with the Padé interpolation equation. In addition, the results calculated by Padé interpolation equation demonstrate that the degree of temperature influence on the D-T2 spectrum of rock is quantitatively related to the pore radius, porosity and cementation index.
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spelling doaj.art-88a9d85307e5438a9817813f3f5a64c42023-06-02T04:24:05ZengKeAi Communications Co. Ltd.Magnetic Resonance Letters2772-51622023-05-0132118126Numerical simulation study on the effect of temperature on the restricted diffusion in porous mediaZhen Xie0Lizhi Xiao1Sihui Luo2Guangzhi Liao3State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, 102249, ChinaCollege of Artificial Intelligence, China University of Petroleum, Beijing, 102249, China; State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, 102249, China; Corresponding author. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, 102249, China.College of Carbon Neutral Energy, China University of Petroleum, Beijing, 102249, ChinaState Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, 102249, China; College of Carbon Neutral Energy, China University of Petroleum, Beijing, 102249, ChinaIt is of great significance to study how temperature affects the restricted diffusion in pores for an accurate evaluation of reservoir physical properties by using nuclear magnetic resonance (NMR) diffusion-transverse relaxation (D-T2) spectrum under reservoir temperature conditions. In this paper, we simulate the restricted diffusion and two-dimensional (2D) NMR D-T2 spectra of water molecules at different temperatures using random-walk method. The one-dimensional (1D) restricted diffusion simulation results show that the diffusion coefficient in the pore at room temperature decays with the diffusion time and eventually reaches a plateau. Under the condition of long-time diffusion, the ratio of restricted diffusion coefficient to bulk diffusion coefficient at different temperatures tends to be the same constant. With the increase in temperature, the simulated D-T2 spectra also gradually move upward. The simulated D-T2 spectra at all temperatures are consistent with the Padé interpolation equation. In addition, the results calculated by Padé interpolation equation demonstrate that the degree of temperature influence on the D-T2 spectrum of rock is quantitatively related to the pore radius, porosity and cementation index.http://www.sciencedirect.com/science/article/pii/S2772516223000190D-T2 spectraTemperatureRestricted diffusionNumerical simulation
spellingShingle Zhen Xie
Lizhi Xiao
Sihui Luo
Guangzhi Liao
Numerical simulation study on the effect of temperature on the restricted diffusion in porous media
Magnetic Resonance Letters
D-T2 spectra
Temperature
Restricted diffusion
Numerical simulation
title Numerical simulation study on the effect of temperature on the restricted diffusion in porous media
title_full Numerical simulation study on the effect of temperature on the restricted diffusion in porous media
title_fullStr Numerical simulation study on the effect of temperature on the restricted diffusion in porous media
title_full_unstemmed Numerical simulation study on the effect of temperature on the restricted diffusion in porous media
title_short Numerical simulation study on the effect of temperature on the restricted diffusion in porous media
title_sort numerical simulation study on the effect of temperature on the restricted diffusion in porous media
topic D-T2 spectra
Temperature
Restricted diffusion
Numerical simulation
url http://www.sciencedirect.com/science/article/pii/S2772516223000190
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AT lizhixiao numericalsimulationstudyontheeffectoftemperatureontherestricteddiffusioninporousmedia
AT sihuiluo numericalsimulationstudyontheeffectoftemperatureontherestricteddiffusioninporousmedia
AT guangzhiliao numericalsimulationstudyontheeffectoftemperatureontherestricteddiffusioninporousmedia