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壓裂過程中瞬態(tài)井筒-地層耦合溫度場半解析模型

發(fā)布時間:2018-07-31 16:06
【摘要】:壓裂過程中,井筒溫度的變化會影響壓裂液到達井底時的流變性以及在地層中的濾失性,準確預測井筒及地層溫度分布可以指導施工方案的設計。關于壓裂過程井筒溫度場的研究主要集中在數(shù)值模型方面,目前還沒有合適的解析模型。文中在Hasan采氣井筒瞬態(tài)傳熱解析模型的基礎上建立了壓裂過程井筒瞬態(tài)傳熱方程,通過Laplace變換進行求解,消除了Hasan采用穩(wěn)態(tài)假設求解溫度梯度所引起的高排量時的誤差,使之能夠準確地模擬壓裂過程的瞬態(tài)井筒溫度。通過與Hasan模型和數(shù)值模型的對比,驗證了該方程的準確性。結果顯示,在相同精度下Hasan模型計算效率遠高于數(shù)值模型。之后,通過將井筒瞬態(tài)解析解與地層二維瞬態(tài)傳熱數(shù)值解結合,建立了壓裂過程瞬態(tài)井筒-地層耦合溫度場半解析模型,并應用該模型分析了排量及注入溫度對壓裂井筒-地層溫度場的影響。
[Abstract]:In the process of fracturing, the change of wellbore temperature will affect the rheology of fracturing fluid when it reaches the bottom of the well and the filtration property in the formation. The accurate prediction of wellbore and formation temperature distribution can guide the design of construction plan. The research of wellbore temperature field in fracturing process is mainly focused on numerical model, but there is no suitable analytical model at present. Based on the analytical model of transient heat transfer in Hasan gas production wellbore, the transient heat transfer equation of wellbore in fracturing process is established. The equation is solved by Laplace transform, and the error caused by high displacement caused by Hasan using steady state assumption to solve temperature gradient is eliminated. It can accurately simulate the transient wellbore temperature during fracturing. The accuracy of the equation is verified by comparison with Hasan model and numerical model. The results show that the computational efficiency of Hasan model is much higher than that of numerical model under the same precision. Then, by combining the transient analytical solution of wellbore with the numerical solution of two-dimensional transient heat transfer in formation, a semi-analytical model of transient wellbore / formation coupling temperature field in fracturing process is established. The effect of displacement and injection temperature on temperature field of fracturing wellbore-formation is analyzed by using this model.
【作者單位】: 中國石油大學(北京)石油工程教育部重點實驗室;
【基金】:中國石油天然氣股份公司項目“致密砂巖油藏超臨界CO_2壓裂增產(chǎn)機理與工藝技術研究”(JS14-W-14-JZ-10-17)
【分類號】:TE357.1

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