分形在油气田开发中的应用

分形用于测井资料分析，为油藏描述提供了新的工具，使得利用油藏数值模拟来模拟复杂结构的油气藏变得更加便利；分形油藏上的试井分析解决了一些以前难以解释的问题；用分形来描述裂缝和孔洞结构，提高了酸化压裂的设计水平；用分形理论来描述两相流，揭示了部分粘性指进的触发机理．总之，分形理论在油气田开发中的应用，促进了渗流力学基础理论的发展．     

Problem of propagation of a gas fracture in a porous medium

The problem of gas fracture formation in a porous medium is investigated. An inertialess viscous polytropic gas flow along the fracture is considered. The assumption of small fracture width with respect to the height and length makes it possible to adopt the vertical plane cross-section hypothesis on the basis of which the dependence of the gas pressure inside the fracture on its width can be reduced to a linear law. Initially, the soil surrounding the fracture is soaked with oil-bearing fluid. During fracturing the reservoir gas penetrates into the soil mass and displaces the fluid. A closed system of equations, which describes the evolution of the fracture opening, the depth of gas penetration into the reservoir, and the gas velocities inside the fracture, is constructed. The limiting regimes of gas seepage into the surrounding reservoir are considered and a one-parameter family of self-similar solutions of the system is given for each. The asymptotics of the solution in the neighborhood of the fracture nose is investigated and analytic expressions for the fracture length are obtained. The solution of the problem of gas fracture is compared with the hydraulic fracturing problem in an analogous formulation within the framework of the plane cross-section hypothesis.     

Rheology and high-temperature stability of novel viscoelastic gemini micelle solutions

To broaden the application of clean fracturing fluid based on surfactant, a gemini cationic C₂₅-tailed surfactant, called FL-25, was synthesized. FL-25 can form a wormlike viscoelastic fluid in aqueous solution without adding any organic or inorganic salts. The rheological properties and thermal stability of the novel gemini micelle solutions were further investigated. The results show that the gemini micelle solution possesses viscoelasticity, thixotropy, and shear-thinning properties. The apparent viscosity of the viscoelastic gemini micelle solution at a shear rate of 170?s^?1 remains approximately 69?mPa?·?s at 110°C for 90 minutes, showing good high-temperature-resistance property. FL-25 may be a novel gemini surfactant applied in clean viscoelastic surfactant fracturing fluids in the oil and gas field.     

Self-similar solution for deep-penetrating hydraulic fracture propagation

The propagation of a vertical hydraulic fracture of a constant height driven by a viscous fluid injected into a crack under constant pressure, is considered. The fracture is assumed to be rectangular, symmetric with respect to the well, and highly elongated in the horizontal direction (the Perkins and Kern model). The fracturing fluid viscosity is assumed to be different from the stratum saturating fluid viscosity, and the stratum fluid displacement by a fracturing fluid in a porous medium is assumed to be piston-like. The compressibility of the fracturing fluid is neglected. The stratum fluid motion is governed by the equation of transient seepage flow through a porous medium.A self-similar solution to the problem is constructed under the assumption of the quasi-steady character of the fracturing fluid flow in a crack and in a stratum and of a locally one-dimensional character of fluid-loss through the crack surfaces. Crack propagation under a constant injection pressure is characterized by a variation of the crack sizel in timet according to the lawl(t)=l _o (1+At)^1/4, where the constantA is the eigenvalue of the problem. In this case, the crack volume isVl, the seepage volume of fracturing fluidV _f l ³, and the flow rate of a fluid injected into a crack isQ ₀l ^–1.     

基于声发射岩体压裂损伤演化特征研究

非常规油气储层体积压裂是油气开采的主要技术手段,准确地描述缝网压裂裂缝的演化规律是研究体积压裂的核心问题,运用声发射信号参数特征定义了岩体损伤变量,基于能量守恒原理,建立压裂岩体破裂与裂缝演化的折迭突变模型.通过选取吉林德惠菜园子页岩岩心开展了相关研究,理论计算与室内试验结果表明,岩体压裂具有突变破裂行为特征,理论计算结果与室内试验结果吻合较好.为后续裂缝演化研究奠定了科学基础.     

Reversible adhesion surface coating proppant

Proppant is a key material in the hydraulic fracturing process,which has been widely used in unconventional oil exploitation.Normal proppants are easy to sedimentate and accumulate at the entrance of shale fracture,which will block the diversion of water,oil and gas.Coated proppants(CPs) are fabricated by coating resin on normal ceramic proppants through a simple method,which is dramatically enhanced the supporting properties in shale fracture and easy to scale up.Compared with uncoated ceramic proppants,the self-suspension ability of CPs is ~11 times higher,which are able to migrate and distribute farther and deeper inside the fracture.At the same time,Coating enhanced the 23.7% of adhesive force in maximum,which makes the CPs easier to adhere on the fracture surface to supportthe shale fracture.Besides,the liquid conductivity of CPs is 60% higher than uncoated ceramic proppants at13.6 MPa pressure.This method is expected to fabricated varieties of proppantsfor shale fracture supporting to improve the exploration of unconventional oil and gas resources.     

无限冰介质中爆炸裂纹扩展机理与数值模拟

根据冰体力学性能,提出了无限淡水冰介质在爆炸冲击载荷下的压碎区及裂隙区的理论计算方法.利用大型有限元软件ANSYS/LS-DYNA模拟了爆炸载荷下无限区域冰体内裂纹扩展过程,模拟结果与实验结果基本一致,表明采用的损伤断裂模型能够较准确的反映无限冰介质动态力学性能及裂纹成形过程.数值模型可近似计算冰体中裂隙区的半径.数值计算值与理论计算值误差不超过5%,数值模拟结果与实验结果吻合,从而确定了无限区域冰体在-15℃时的基本破坏特征及范围.     

浅埋双连拱隧道围岩——边坡体系变形机理及稳定性分析

双连拱隧道是一种新的隧道形式, 由于其整体跨度大、结构复杂、施工工序繁琐, 在地形偏压、地质条件复杂的情况下修建双连拱隧道难度较高, 尤其在洞口段容易出现衬砌开裂、边坡变形等一系列工程问题。结合安徽铜黄高速公路汤屯段富溪隧道进口段工程, 采用地质条件研究与数值模拟分析相结合的研究手段, 对复杂地质条件下偏压双连拱隧道围岩① 边坡体系在施工过程中应力应变发展过程进行了研究。综合分析表明, 富溪隧道进口段处于F5断层影响带内, 岩体呈碎裂结构,同时, 受到地形偏压影响, 隧道开挖后衬砌和围岩表现为沉降变形和侧向变形, 进口边坡在隧道围岩变形的诱导下, 表现为“蠕滑- 拉裂”变形破裂。根据以上研究成果, 提出了富溪隧道变形治理应以控制进口段隧道拱顶的变形为主。     

基于混合方法的二维水力压裂数值模拟

水力压裂在页岩气开采中被广泛使用,采用数值方法研究压裂机理具有重要意义.基于连续-非连续单元法(CDEM) 和中心型有限体积法(FVM),提出解决水力压裂流固耦合问题的二维混合数值计算模型.该混合模型中,使用CDEM 求解应力场和裂缝扩展过程,使用FVM 求解裂隙渗流场.应力场裂缝扩展和渗流场均使用显式迭代求解, 并通过相互之间数据交换实现流固耦合.通过与KGD 理论模型进行对比, 验证数值模型的正确性.通过与颗粒离散元数值结果进行对比,验证数值模型的有效性.通过计算复杂缝网压裂模型,研究水力压裂机理,并说明该数值模型在水力压裂模拟中具有很好的前景.      

Hydraulic fracture in poro-hydro-elastic media

The prediction of fluid-driven crack propagation in deforming porous media has achieved increasing interest in recent years, in particular with regard to the modeling of hydraulic fracturing, the so-called “fracking”. Here, the challenge is to link at least three modeling ingredients for (i) the behavior of the solid skeleton and fluid bulk phases and their interaction, (ii) the crack propagation on not a priori known paths and (iii) the extra fluid flow within developing cracks. To this end, a macroscopic framework is proposed for a continuum phase field modeling of fracture in porous media that provides a rigorous approach to a diffusive crack modeling based on the introduction of a regularized crack surface. The approach overcomes difficulties associated with the computational realization of sharp crack discontinuities, in particular when it comes to complex crack topologies including branching. It shows that the quasi-static problem of elastically deforming, fluid-saturated porous media at fracture is related to a minimization principle for the evolution problem. The existence of this minimization principle for the coupled problem is advantageous with regard to a new unconstrained stable finite element design, while previous space discretizations of the saddle point principles are constrained by the LBB condition. This proposed formulation includes a generalization of crack driving forces from energetic definitions towards threshold-based criteria in terms of the effective stress related to the solid skeleton of a fluid-saturated porous medium. Furthermore, a Poiseuille-type constitutive continuum modeling of the extra fluid flow in developed cracks is suggested based on a deformation-dependent permeability, that is scaled by a characteristic length.