稠油热采双区数学模型及典型曲线分析

在稠油热采中，近井地带与远井地带的温度差别很大，为获得热采所关心的参数，在考虑井筒储集和表皮效应的情况下，建立了稠油热采试井双区数学模型和有效井径模型（无因次双区数学模型），采用Laplace变换和Stehfest数值反演求得井底压力的解析解，分析了流度比等参数对典型曲线的影响，认为：在其它有关参数不变的情况下①流度比愈大，压力和压力导数曲线上升幅度愈大，导数曲线第二个平台愈高；②扩散比愈大，导数曲线第二个波峰愈高，第二个平台出现的时间愈晚；③无因次波及半径愈大，第一个平台持续的时间愈长；④CDe2S愈大，第一个波峰愈高，第一个平台持续的时间愈短，出现第二个平台的时间愈早。

Type Curve Analysis and Mathematical Model for Two Region Thermal Crude Reservoir

During the reservoir thermal development, There is a great temperature different between the near wellbore region and the far from wellbore region. In order to get tbe parameters which the reservoir thermal development concerned with,We build up the two region model and efficient radius wellbore model for the thermal developed well with wellbore storage and skin effect. By using Laplace transform and Stehfest Laplace numerical inversion,the wellbore pressure solution was got. The effects of the parameters on the type curve are analyzed. With other parameters not changed, we conclude that: (1) Larger the mobility ratio, higher the pressure and pressure derivative, and higher the second platform in the pressure derivative line. (2) Larger the dimensionless wellbore radius, longer the first platform in the pressure derivative line. (3) Larger the diffusion ratio,higher the second platform in the pressure derivative line,and more later the second plat form in the pressure derivative line appear.(4) Larger CDe2S,higher the first wave peak and shorter the first platform in the pressure derivative line,and earlier the second platform in the pressure derivative line.