考慮滲流壓力梯度時(shí)低滲巖土固結(jié)控制方程的解析解
發(fā)布時(shí)間:2018-11-09 10:37
【摘要】:基于波動(dòng)采油技術(shù)背景,對(duì)初始狀態(tài)飽和滲流流體低滲巖土的固結(jié)控制方程進(jìn)行了半解析求解。Laplace變換與迭代消去后的一維或徑向模型固結(jié)控制方程為包含變參量的四階常(變)系數(shù)非線性偏微分方程。通過流體位移解指數(shù)形式假設(shè)與微分高階項(xiàng)消除,轉(zhuǎn)換為關(guān)于替換系數(shù)的特征方程求解,最終得到關(guān)于Laplace變換域內(nèi)的流體位移通解。Matlab編程與數(shù)值算例表明,考慮初始滲流壓力梯度項(xiàng)時(shí),彈性波作用下低滲孔隙介質(zhì)的滲流物性變化幅度明顯增大.
[Abstract]:Based on the technical background of fluctuating oil recovery, In this paper, the semi-analytical solution of consolidation control equation of low-permeability rock and soil for initial saturated seepage fluid is carried out. The consolidation control equation of one-dimensional or radial model after Laplace transformation and iterative elimination is a fourth-order constant (variable) coefficient with variable parameters. Linear partial differential equation. By assuming the exponent form of the fluid displacement solution and eliminating the differential higher-order term, it is converted to the solution of the characteristic equation about the replacement coefficient. Finally, the general solution of the fluid displacement in the Laplace transform domain is obtained. The Matlab programming and numerical examples show that, When the initial seepage pressure gradient is taken into account, the variation range of percolation physical properties of low-permeability porous media increases obviously under the action of elastic wave.
【作者單位】: 燕山大學(xué)車輛與能源學(xué)院;中國(guó)石油大學(xué)(華東)石油工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金“低滲油藏低頻振動(dòng)輔助表面活性劑復(fù)合驅(qū)油機(jī)理研究”(51274229) 燕山大學(xué)博士基金“振動(dòng)激勵(lì)下儲(chǔ)層流體流變性基礎(chǔ)動(dòng)力學(xué)研究”(No.BL17024)資助項(xiàng)目
【分類號(hào)】:O175
,
本文編號(hào):2320157
[Abstract]:Based on the technical background of fluctuating oil recovery, In this paper, the semi-analytical solution of consolidation control equation of low-permeability rock and soil for initial saturated seepage fluid is carried out. The consolidation control equation of one-dimensional or radial model after Laplace transformation and iterative elimination is a fourth-order constant (variable) coefficient with variable parameters. Linear partial differential equation. By assuming the exponent form of the fluid displacement solution and eliminating the differential higher-order term, it is converted to the solution of the characteristic equation about the replacement coefficient. Finally, the general solution of the fluid displacement in the Laplace transform domain is obtained. The Matlab programming and numerical examples show that, When the initial seepage pressure gradient is taken into account, the variation range of percolation physical properties of low-permeability porous media increases obviously under the action of elastic wave.
【作者單位】: 燕山大學(xué)車輛與能源學(xué)院;中國(guó)石油大學(xué)(華東)石油工程學(xué)院;
【基金】:國(guó)家自然科學(xué)基金“低滲油藏低頻振動(dòng)輔助表面活性劑復(fù)合驅(qū)油機(jī)理研究”(51274229) 燕山大學(xué)博士基金“振動(dòng)激勵(lì)下儲(chǔ)層流體流變性基礎(chǔ)動(dòng)力學(xué)研究”(No.BL17024)資助項(xiàng)目
【分類號(hào)】:O175
,
本文編號(hào):2320157
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