Chemical species |

\(\mathrm {A}_{X_{\alpha }^{}} \mathrm {B}_{1-X_{\alpha }^{}}\) | Solid solution, end-members of which are pure minerals, A and B |

\(\alpha , \beta\) | Aqueous species corresponding to pure minerals A and B, respectively |

Measured quantities and variables |

\(C^{{\mathrm{A}}}_{\alpha },C^{{\mathrm{A}}}_{\beta },C^{{\mathrm{B}}}_{\alpha },C^{{\mathrm{B}}}_{\beta }\) (\(\hbox {mol/m}^3\)) | Concentrations of species \(\alpha\), \(\beta\) at sites A and B, respectively |

\(X^{{\mathrm{A}}}_{\alpha }, X^{{\mathrm{A}}}_{\beta }, X^{{\mathrm{B}}}_{\alpha }, X^{{\mathrm{B}}}_{\beta }\) (–) | Mole fractions of components \(\alpha\) and \(\beta\) at sites A and B, respectively |

\(R_{{\mathrm{A}}}, R_{{\mathrm{B}}}\) (mol/(m^{2} s)) | Reaction rates of dissolution and precipitation at sites A and B, respectively |

\(J^{}_{\alpha }, J^{}_{\beta }\) (mol/(m^{2} s)) | Flux of species \(\alpha\) and \(\beta\) in the fluid channel from A to B |

*n* (–) | Order of reaction. In this study, *n* is assumed to be 1 |

Constant physical properties |

*L* (m) | Distance between sites A and B |

\(D_\alpha , D_\beta\) (\(\hbox {m}^2\hbox {/s}\)) | Diffusion coefficients of species \(\alpha\) and \(\beta\) in the intergranular fluid |

\(K_\alpha , K_\beta\) (\(\hbox {mol/m}^3\)) | Coefficients of equilibrium abundance ratio of the \(\alpha\) and \(\beta\) components within the intergranular fluid to those within the solid-solution minerals |

\(k_{{\mathrm{A}}}\), \(k_{{\mathrm{B}}}\) (\(\hbox {mol}^{1-n}\, \hbox {m}^{3n-2}\hbox {/s}\)) | Dissolution rate constants of minerals A and B, respectively |

Dimensionless parameters |

\(\gamma _{{\mathrm{A}}}, \gamma _{{\mathrm{B}}}\) (–) | Governing parameters defined by Eqs. (7a) and (7b), respectively |

\(\delta\) (–) | Ratio of \(\gamma _{{\mathrm{A}}}\) to \(\gamma _{{\mathrm{B}}}\), also defined by Eq. (7c) |