Abstract:

It is obviously unreasonable that a few two-dimension models, which are used to predict the geometric shape of dynamic fractures developed by Geertsma, Klerk, Perkins et. al, don t consider the influence of temperature. Taking the influence of initial formation temperature and wellbore temperature into consideration, this paper first sets up a temperature field model in a fracture in which the leakoff rate is the function of temperature and time, then develops two types of models predicting the geometric shape that considers the temperature distribution in the fracture，and finally exemplifies the use of
all above models.
All models presented in this paper are helpful to the fracturing operation practice，and give a way of real time stimulation of the dynamic fracture geometric shape by computors.