非均質(zhì)表皮層徑向雙層承壓井流數(shù)學(xué)模型的半解析解
發(fā)布時間:2018-04-24 07:14
本文選題:各向異性 + 非均質(zhì) ; 參考:《工程數(shù)學(xué)學(xué)報》2016年03期
【摘要】:考慮表皮層和未擾動承壓層的非均質(zhì)性、各向異性以及豎向越流補給作用,建立了徑向雙層承壓三維井流的數(shù)學(xué)模型,采用Laplace變換和矩陣?yán)碚撉蟮帽砥雍臀磾_動承壓層的水頭降以及井壁流量的半解析解.應(yīng)用所求解編制計算程序,分析了表皮層沿豎向隨機變化的滲透性對承壓層井流的影響,結(jié)果表明:表皮層非均質(zhì)變化形態(tài)決定了表皮層內(nèi)和其附近處的水頭降以及井壁流量的豎向分布規(guī)律,表皮層對承壓層滲流產(chǎn)生的影響范圍與承壓層的豎向滲透系數(shù)大小有關(guān);改善井周巖土介質(zhì)滲透性或增大"負(fù)表皮層"厚度可提高抽水井產(chǎn)量;表皮層徑向滲透系數(shù)較小時,承壓層的水頭降幅度主要取決于承壓層徑向滲透系數(shù)的大小,而當(dāng)表皮層徑向滲透系數(shù)較大時,承壓層徑向滲透系數(shù)和豎向滲透系數(shù)均對承壓層水頭降有較大影響.
[Abstract]:Considering the heterogeneity, anisotropy and vertical overflowing recharge of the surface layer and undisturbed confined layer, a mathematical model of radial double-layered pressure 3-D well flow is established. By using Laplace transform and matrix theory, the semi-analytical solutions of head drop and wellbore flow of the surface layer and undisturbed bearing layer are obtained. Based on the calculation program, the influence of random variation of percolation along vertical direction on well flow in confined layer is analyzed. The results show that the heterogeneity of the epidermis determines the water head drop in and around the epidermis and the vertical distribution of the wellbore flow. The influence of the epidermis on the percolation of the confined layer is related to the vertical permeability coefficient of the confined layer. Improving the permeability of rock and soil around wells or increasing the thickness of "negative epidermis" can increase the output of pumping wells, and when the radial permeability coefficient of the surface layer is small, the water head drop of the confined layer mainly depends on the radial permeability coefficient of the confined layer. When the radial permeability coefficient of the surface layer is larger, both the radial permeability coefficient and the vertical permeability coefficient of the confined layer have great influence on the water head drop of the confined layer.
【作者單位】: 武夷學(xué)院土木工程與建筑學(xué)院;浙江大學(xué)軟弱土與環(huán)境土工教育部重點實驗室;鐵道第三勘察設(shè)計院集團有限公司;江蘇大學(xué)土木工程與力學(xué)學(xué)院;
【基金】:浙江省自然科學(xué)基金重點項目(Z5080175) 福建省自然科學(xué)基金(2012J05096) 福建省教育廳科技項目(JA13322)~~
【分類號】:O302
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本文編號:1795669
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