本文发展了用于预测均质建材VOC散发和吸附的综合模型，此模型的要点是：同时考虑了材料中VOC的扩散和其在空气中的传质阻力；在模型中计及了室外VOC进入房屋的影响。利用拉普拉斯变换得到了模型的解析解。这不仅避免了数值求解的不便，而且有利于对模型参数进行考察，可以清晰地得到VOC散发和吸附与各影响参数之间的函数关系。

利用已有文献中的实验数据验证了本文模型的有效性。对模型中各参数对散发特性的影响进行了分析：包括材料中VOC的扩散系数、材料/空气分区常数和材料中VOC的初始浓度等。为了研究房间进口VOC浓度对室内建材VOC吸附的影响，考察了几种随时间变化的进口VOC浓度，在每种情况下模拟室内VOC浓度随时间的变化。

在上述综合模型的基础上，进一步提出了一个可以用于预测多层材料VOC散发的模型。同样利用拉普拉斯变换得到了模型的解析解。对多层模型每层的各个参数进行分析，详细考察了与空气相接触的表层对VOC散发的敏感性。分别选取了两种代表极性和非极性的挥发性有机化合物，对一个典型房间内多层材料的VOC散发进行模拟，这个多层材料VOC散发模型的适用性得到了初步验证。

Firstly, a physically based model is proposed to account for the emission and sorption of VOC from/on homogeneous building materials. In addition to the diffusion of VOC in the material, the mass transfer resistence of VOC through the air boundary layer is also taken into account in this model. Instead of using the finite difference method commonly adopted in the literature, this thesis presents the analytical solution of the present model, which is convenient to investigate the influence of model parameters. The present model is validated through the experiments found in the literature. Some computations are performed to investigate the influences of the material/air partition coefficient, the diffusion coefficient of VOC in the material and the air velocity over building material. The effect of the inlet concentration on VOC sorption on building materials is also investigated. Several kinds of time-varying inlet concentrations have been considered, and the indoor air VOC concentration profiles are described with the different source functions.

Secondly, a mathematical model capable of predicting the emission of VOC from multi-layer materials is presented. Both the diffusion within the material and the mass transfer resistance through the air boundary layer are taken into account. An analytical solution based on the Laplace transform is obtained after introducing the equivalent air-phase concentration. The impact of barrier layer on emission rate is discussed in details. Two VOC, representing polar and nonpolar compounds respectively, are simulated to study the emission characteristics in a typical room with multi-layer construction materials.