真理掌握在齐老师一人手中？《正交非线性渗流定理》及其意义

s10020262

Theorem ofOrthogonal Non-Linear Flow in Porous Media

By QI Chengwei

    ABSTRACT: Substituting the Orthogonal Power- QuotientEquation into the continuity equation of incompressible fluid steadily flowingin porous media, to achieve the governing equation of orthogonal non- linearflow in porous media at low velocities. This governing equation is a secondorder non-linear partial differential equation, thus except straight streamlinefields, it’s extremely hard to be solved symbolically. Coordinating fieldtheory with differential geometry, to qualitatively analyze geometriccharacteristics of the flow fields, and gain the‘theorem of orthogonalnon-linear flow in porous media: Supposing that iso-intensity surfaces ofpressure and streamlines of non- linear flow in porous media are orthogonal to eachother, if the flow fields are curved streamline fields, then the streamlines ofcompressible or incompressible single- phase fluid non-linearly flowing inporous media and the streamlines of incompressible single-phase fluid linearlyflowing in porous media are in different shapes under the same condition. Underthe orthogonality hypothesis, the shapes of iso-intensity surfaces of pressureare also different.’Drawing an analogy with Stokes flow, to point out the possibilityof non- orthogonality between iso- intensity surfaces of pressure andstreamlines of the fluid non-linearly flowing in porous media.

    Key words: mechanics of fluids in porous media,geometric characteristics of flow fields, Orthogonal Power- Quotient ContinuityEquation, curved streamline field, lemma, StreamlineCurvature Vector Formula, Complex Curvature Formula, Shattering Fracturing

    正交非线性渗流定理表明：无限大等厚均质各向同性水平地层内具有无限导流能力且铅垂贯穿地层的有限长无宽直裂缝激发的正交非线性渗流场的流线不是以裂缝端线等高点为焦点的双曲线，等压面也不是以裂缝端线为焦线的椭圆柱面。拟共形？

    非线性渗流的等压面与流线是否正交，可通过测试具有非线性渗流特征的等厚均质各向同性水平岩板内二维曲流场的等压面与板缘壁面是否正交来判定。若不正交，谁能极之？不管是否正交，为理论非线性渗流力学奠基仅需一个曲流压强场显函数。

我爱发明

勤于思考，乐于表达也是一种竞争力~

追梦

敢于挑战，敢于思考，

载物

没看出来想证明啥。。。

s10020262

载物 发表于 2017-2-22 03:51
没看出来想证明啥。。。

附件中的 pdf 共有 24 页。前 6 页是《正交非线性渗流定理》原文，第 7,8 两页是《正交非线性渗流定理》英文摘要。耐心地翻过英文摘要这两页，才能看到 “想证明啥” 的通俗易懂的文字解说。

zhangyk

看看，能看懂否，努力试试吧。

载物

s10020262 发表于 2017-2-22 15:23
附件中的 pdf 共有 24 页。前 6 页是《正交非线性渗流定理》原文，第 7,8 两页是《正交非线性渗流定理》 ...

我说的意思其实是说论文没说明白。。没有代入感。通篇都是公式，没有铺垫，没有指明论文做啥工作，引言基本没有，摘要也没说明白。后面做的再好，前面没有铺垫，没有背景介绍，也难免让读者对论文没啥兴趣。公式多了不见得就是好论文。