中文摘要：

通过研究不同粉煤灰掺量（0％、15％、20％、40％、60％）下高性能混凝土的二维和三维碳化深度，建立二维和三维碳化的测试方法，提出二维和三维碳化的数学模型，定义二维和三维碳化的叠加效应系数，并给出二维和三维叠加效应系数的数学公式。试验表明，混凝土的二维、三维碳化与一维碳化相似，也是服从时间的指数函数，同时具有明显的叠加效应；早期碳化时，二维叠加系数能到4．0以上，三维叠加系数能到6．0以上；碳化至28d（相当于自然碳化50年）时，二维叠加系数能到2．0以上，三维叠加系数能到4．0以上；叠加系数服从经时衰减函数。

英文摘要：

Through a study on 2-D and 3-D carbonations of high-performance concrete with different flyash proportion（0%, 15% ,20% ,40% ,60% ）, the test methods of 2-D and 3-D carbonations are built; the mathematical models of 2-D and 3-D carbonations are also proposed. The superposition coefficient of 2-D and 3-D carbonations are defined; the mathematic formula of the superposition coefficient is given. The experiment indicates that the carbonations of 2-D and 3-D are similar to that of l-D, which obey the exponential function of time t. At the same time,they have superposition coefficient obviously. During the early stage carbonation, the superposition coefficient of 2-D can be over 4.0, and it can be 6.0 of 3-D. During the carbonation of 28 days （which corresponds to natural carbonation of 50 years）, the superpostion coefficient of 2-D can be over 2.0, and it can be 4.0 of 3-D. The superposition coefficient obeys the attenuation function through time t.