关键词: 表面反应, 定解问题, 数学模型, 平均浓度, 反应物浓度, 表达式, 孔隙, 假设条件, 定解条件, 酸化

Abstract: In reference literature(1)Schechter and Gidley established a mathematical model of the reactant concentration C^P in a single pore to simulate the acidizing process.In order to get the average concentration C^P,they define a parameter "α" in(1).They assume that "α" depends on the pore geometry,the diffusion coefficient and the reaction velocity constant; but is independent to the time and axial position of the pore.Under some coditions,a formula of C^P depending on α is given in(1).It is recognized that the method proposed above must prove that α is independent to the time t and axial position of the pore Z,and α can be determined.However,this is impossible.In this paper,C^P is solved directly from a mathimatical model mentioned above,under some conditions,and thus,an expression of C^P is obtained.According to the result it is proved that even if a single pore is defined,α still depends on Z andt,and the values of α can spread in an infinite interval.As a result,α can not be detemined.Thus,the method used to solve C^P in(1) should be modified before its application.