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 r...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 twodimensional(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 Pade interpolation equation.In addition,the results calculated by Pade 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.展开更多
This paper presents a restricted SIRmathematicalmodel to analyze the evolution of a contagious infectious disease outbreak(COVID-19)using available data.The new model focuses on two main concepts:first,it can present ...This paper presents a restricted SIRmathematicalmodel to analyze the evolution of a contagious infectious disease outbreak(COVID-19)using available data.The new model focuses on two main concepts:first,it can present multiple waves of the disease,and second,it analyzes how far an infection can be eradicated with the help of vaccination.The stability analysis of the equilibrium points for the suggested model is initially investigated by identifying the matching equilibrium points and examining their stability.The basic reproduction number is calculated,and the positivity of the solutions is established.Numerical simulations are performed to determine if it is multipeak and evaluate vaccination’s effects.In addition,the proposed model is compared to the literature already published and the effectiveness of vaccination has been recorded.展开更多
基金supported by“National Natural Science Foundation of China(Grant No.42204106)”。
文摘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 twodimensional(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 Pade interpolation equation.In addition,the results calculated by Pade 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.
基金Research Partnership Program no.RP-21-09-06 from the Deanship of Scientific Research of Imam Mohammad Ibn Saud Islamic University(IMSIU).
文摘This paper presents a restricted SIRmathematicalmodel to analyze the evolution of a contagious infectious disease outbreak(COVID-19)using available data.The new model focuses on two main concepts:first,it can present multiple waves of the disease,and second,it analyzes how far an infection can be eradicated with the help of vaccination.The stability analysis of the equilibrium points for the suggested model is initially investigated by identifying the matching equilibrium points and examining their stability.The basic reproduction number is calculated,and the positivity of the solutions is established.Numerical simulations are performed to determine if it is multipeak and evaluate vaccination’s effects.In addition,the proposed model is compared to the literature already published and the effectiveness of vaccination has been recorded.
