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水力裂縫平面應(yīng)變假設(shè)的適用條件與解析修正

發(fā)布時間:2018-04-06 23:09

  本文選題:水力壓裂 切入點:平面應(yīng)變 出處:《石油勘探與開發(fā)》2017年03期


【摘要】:鑒于平面應(yīng)變假設(shè)在模擬水力裂縫周圍應(yīng)力、位移分布的模型中得到了廣泛應(yīng)用,通過對比橢圓裂縫解和平面應(yīng)變解,探討了平面應(yīng)變假設(shè)的適用條件并給出了修正方法。在前人研究的基礎(chǔ)上推導、補充并修正了扁平橢圓裂縫的應(yīng)力、位移場表達式,與平面應(yīng)變假設(shè)條件下的計算結(jié)果進行了比較,結(jié)果表明:若在縫高方向考慮平面應(yīng)變假設(shè),長高比大于10后,平面應(yīng)變解與橢圓裂縫解之間的差異可以忽略,而在主要受縫面法向正應(yīng)力控制的問題中,平面應(yīng)變解的適用條件可以放寬到長高比大于5;當長高比滿足適用條件時應(yīng)用平面應(yīng)變假設(shè)具有較高精度,長高比較小時需要對平面應(yīng)變解進行修正。給出了不同長高比條件下裸眼水平井起裂附加應(yīng)力和單條裂縫寬度的平面應(yīng)變解修正圖版,發(fā)現(xiàn)擬三維模型的縫寬更易于修正。
[Abstract]:Since the plane strain hypothesis has been widely used in the model of simulating the stress and displacement distribution around the hydraulic fracture, by comparing the elliptical crack solution with the plane strain solution, the applicable conditions of the plane strain hypothesis are discussed and the correction method is given.On the basis of previous studies, the stress and displacement field expressions of flat elliptical cracks are deduced and modified. The results are compared with those calculated under the assumption of plane strain. The results show that: if the plane strain hypothesis is considered in the direction of joint height,When the ratio of length to height is greater than 10, the difference between the plane strain solution and the elliptical crack solution can be neglected.The suitable conditions of plane strain solution can be relaxed to the ratio of length to height greater than 5, and when the ratio of length to height satisfies the applicable condition, the assumption of plane strain has a higher accuracy, and when the ratio of length to height is small, the plane strain solution needs to be corrected.In this paper, the correction chart of plane strain solution for open hole horizontal well with different ratio of length to height is given. It is found that the crack width of pseudo-3D model is easier to be corrected.
【作者單位】: 油氣藏地質(zhì)及開發(fā)工程國家重點實驗室(西南石油大學);中石化河南石油工程有限公司;
【基金】:國家自然科學基金重大項目(51490653) 國家重點基礎(chǔ)研究發(fā)展計劃(973)項目(2013CB228004)
【分類號】:TE357.1
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本文編號:1719316

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