本文選題：隧道工程 + 排水系統(tǒng)�。� 參考：《巖石力學(xué)與工程學(xué)報(bào)》2017年05期

【摘要】：基于目前未見對(duì)隧道排水系統(tǒng)非對(duì)稱堵塞滲流場進(jìn)行解析研究,通過對(duì)研究區(qū)域進(jìn)行簡化假設(shè),求解代表滲流場的Laplace方程。對(duì)研究區(qū)域內(nèi)未知邊界條件,采用PDE工具進(jìn)行數(shù)值解后,得到近似的非齊次邊界條件�；诖�,再運(yùn)用復(fù)平面內(nèi)的保角變換、坐標(biāo)變換、微分方程定解問題的分解等方法,將邊界條件齊次化,在Hilbert空間中將最后唯一的非齊次邊界條件表達(dá)為正交函數(shù)族的級(jí)數(shù)和,從而得到了此情況下的隧道周邊滲流場解析級(jí)數(shù),其后考查了級(jí)數(shù)項(xiàng)的多少對(duì)計(jì)算結(jié)果的影響。研究結(jié)果表明:(1)隧道排水系統(tǒng)非對(duì)稱堵塞后滲流場可以表達(dá)為解析后級(jí)數(shù),可簡化將來針對(duì)這一情況下滲流場的求解難度;(2)隧道排水系統(tǒng)非對(duì)稱堵塞后滲流場大致呈漏斗狀,但在堵塞側(cè)水頭較高;(3)求和項(xiàng)數(shù)對(duì)計(jì)算精度的影響至多到100項(xiàng),多數(shù)情況下只需50項(xiàng);(4)考查了隧道可能受到的水壓力分布和滲流量,分別與相同條件下的數(shù)值模擬結(jié)果進(jìn)行對(duì)比,兩者相差僅4.28%和4.05%。
[Abstract]:Based on the analysis of unsymmetrical blockage seepage field in tunnel drainage system, the Laplace equation representing seepage field is solved by simplifying the hypothesis of the study area. For the unknown boundary conditions in the studied region, the approximate inhomogeneous boundary conditions are obtained by using the PDE tool. Based on this, the conformal transformation, coordinate transformation and the decomposition of the definite solution of differential equation are used in the complex plane to homogenize the boundary conditions. The last inhomogeneous boundary condition is expressed as the series sum of the family of orthogonal functions in Hilbert space. The analytic series of seepage field around the tunnel are obtained, and the influence of the series term on the calculation results is investigated. The results show that the seepage field after asymmetric blockage of tunnel drainage system can be expressed as analytic series, which can simplify the difficulty of solving seepage field in the future. However, the influence of summation terms on the accuracy of the calculation is up to 100 items at most, and in most cases only 50 items are needed.) the distribution of water pressure and seepage flow to which the tunnel may be subjected has been investigated. Compared with the numerical simulation results under the same conditions, the difference between them is only 4.28% and 4.05%.
【作者單位】： 重慶大學(xué)土木工程學(xué)院;
【基金】：中央高�；究蒲袠I(yè)務(wù)費(fèi)資助(CDJXS12200003) 重慶市基礎(chǔ)與前沿研究計(jì)劃項(xiàng)目(cstc2013jcyjA30005)~~
【分類號(hào)】：U453.6

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