中文摘要：

为充分认识钻井过程中泥饼动态生长以及泥浆侵入过程，研究泥浆性质、储层参数等对泥饼形成与泥浆侵入过程的影响，基于两相渗流方程，结合泥饼形成机理，对泥饼以及泥饼与地层的界面进行了有限差分格式的精确推导，并采用TDMA算法快速求解大型方程。计算得到的数值模拟结果与国外实验数据能很好地吻合。模拟了不同泥浆固相含量、不同地层孔隙度、不同地层渗透率条件下泥饼生长剖面、泥浆侵入速率以及储层饱和度变化剖面。地层孔隙度对泥饼形成与泥浆滤液侵入速率影响较小，控制着泥浆侵入深度；泥浆固相含量与地层渗透率共同控制着泥饼生长与泥浆侵入速率，在渗透率大于3mD”的地层，随着泥饼不再生长，泥浆滤液侵入速率下降为相同的定值；而对于渗透率小于3mD的地层，最终泥浆滤液侵入速率还受到地层渗透率的限制，地层渗透率越小，最终侵人速率越小。

英文摘要：

To investigate mud-cake dynamic formation and mud-filtrate invasion process during drilling, and to deeply research on the influence of mud properties and reservoir parameters on mud-cake buildup and the invasion process, based on the equations of two phase fluid flow and mud-cake buildup mechanism, the finite difference schemes about the mud-cake and the interface between the mud cake and the formation are accurately deducted. The TDMA algorithm is adopted to fast calculate the large scale sparse equations. The results agree very well with foreign experimental data. In addition, profiles of mud-cake thickness, flow rate, formation water saturation under different mud solid fraction, formation porosity and formation permeability conditions are simulated. The results show that formation porosity has little impact on mud-cake formation and flow rate, but controls invasion depth; mud solid fraction and formation permeability together control the mud-cake formation and flow rate; for the formation with permeability greater than 3 mD, with mud-cake no longer growing, the flow rate decreases to a same value; for the formation permeability lower than 3 mD, the final flow rate value is also controlled by formation permeability, and the smaller the permeability is, the lower the final flow rate will he