Solution of an unstable axisymmetric Cauchy–Poisson problem of dispersive water waves for a spectrum with compact support     

T.S. Jang  S.H. Kwon  B.J. Kim 《Ocean Engineering》2007,34(5-6):676-684

 It has been known that the axisymmetric Cauchy–Poisson problem for dispersive water waves is well posed in the sense of stability. Thereby time evolution solutions of wave propagation depend continuously on initial conditions. However, in this paper, it is demonstrated that the axisymmetric Cauchy–Poisson problem is ill posed in the sense of stability for a certain class of initial conditions, so that the propagating solutions do not depend continuously on the initial conditions. In order to overcome the difficulty of the discontinuity, Landweber–Fridman's regularization, famous and well known in applied mathematics, are introduced and investigated to learn whether it is applicable to the present axisymmetric wave propagation problem. From the numerical experiments, it is shown that stable and accurate solutions are realized by the regularization, so that it can be applicable to the determination of the ill-posed Cauchy–Poisson problem.  相似文献   

On the connection among three classical mechanical problems via the hypercomplex KS-transformation     

Maria Dina Vivarelli 《Celestial Mechanics and Dynamical Astronomy》1990,50(2):109-124

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Non-smooth gravity problem with total variation penalization functional   总被引：1，自引：0，他引：1  

H. Bertete-Aguirre  E. Cherkaev  M. Oristaglio 《Geophysical Journal International》2002,149(2):499-507

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Adaptive Multiscale Permeability Estimation     

Alv-Arne Grimstad  Trond Mannseth  Geir Nævdal  Hege Urkedal 《Computational Geosciences》2003,7(1):1-25

With multiscale permeability estimation one does not select parameterization prior to the estimation. Instead, one performs a hierarchical search for the right parameterization while solving a sequence of estimation problems with an increasing parameterization dimension. In some previous works on the subject, the same refinement is applied all over the porous medium. This may lead to over-parameterization, and subsequently, to unrealistic permeability estimates and excessive computational work. With adaptive multiscale permeability estimation, the new parameterization at an arbitrary stage in the estimation sequence is such that new degrees of freedom are not necessarily introduced all over the porous medium. The aim is to introduce new degrees of freedom only where it is warranted by the data. In this paper, we introduce a novel adaptive multiscale estimation. The approach is used to estimate absolute permeability from two-phase pressure data in several numerical examples.  相似文献   

非饱和土中镉离子传输模型参数反演   总被引：6，自引：0，他引：6       下载免费PDF全文

崔凯  李宝元  李兴斯  杨国伟 《水科学进展》2004,15(6):700-705

使用自行设计的的真空实验装置,采用一维实验室土柱实验方法在不同实验条件下进行了15组实验,并基于实验所得的穿透曲线,使用梯度正则化方法反演得到了镉离子在8种葡萄牙土样和1种比利时土样中相应的传输模型参数。同时通过数值模拟实验验证了梯度正则化方法的有效性和可靠性,进而证明所得结果是有效的。  相似文献   

基于神经网络的页岩微纳米孔隙微结构分析的正则化和最优化方法   总被引：1，自引：1，他引：0  

王彦飞  邹安祺 《岩石学报》2018,34(2):281-288

页岩气成藏机理与页岩内部孔隙结构紧密相关,对页岩孔隙结构的研究成为页岩气勘探开发技术中至关重要的一环。页岩内部不同结构体组分对X-射线的吸收能谱不一样,这样就导致观测数据是由不同页岩组分衰减不同波段的X-射线构成的。经过对CT图像分割,能够获得页岩微孔结构的图像,尤其是获得有机质中孔隙类别、形状、尺寸、空间分布、连通特性。本文利用同步辐射X射线扫描重构的页岩CT数据,研究并设计基于多能CT图像的神经网络图像分割技术和算法,以期得到页岩体三维结构特征及空间分布,可以为建立有机质种类和无机矿物组成与微纳孔隙特征的联系以及最终实现页岩气的资源储量评估和勘探开发提供技术支持。  相似文献   

磁性下界面的正则化反演方法   总被引：1，自引：0，他引：1  

刘展  潘作枢 《物探与化探》1995,19(6):439-448

根据磁异常反演磁性介质下界面,属于非线性问题,一般很难直接求解.本文采用将非线性问题线性化措施,建立起线性离散磁模型,然后应用线性规划的正则算法,设计了迭代求解方案.该方法不要求已知界面起伏的平均深度,只要求假定界面是连续的及磁性沿横向变化.算法便于对解施行物理约束,具有收敛快,精度高的特点.  相似文献   

Simultaneous iterative time-domain sparse deconvolution to teleseismic receiver functions     

Christian Escalante  Yu J. Gu  Mauricio Sacchi 《Geophysical Journal International》2007,171(1):316-325

In this paper, we present a new approach to estimate high-resolution teleseismic receiver functions using a simultaneous iterative time-domain sparse deconvolution. This technique improves the deconvolution by using reweighting strategies based on a Cauchy criterion. The resulting sparse receiver functions enhance the primary converted phases and its multiples. To test its functionality and reliability, we applied this approach to synthetic experiments and to seismic data recorded at station ABU, in Japan. Our results show Ps conversions at approximately 4.0 s after the primary P onset, which are consistent with other seismological studies in this area. We demonstrate that the sparse deconvolution is a simple, efficient technique in computing receiver functions with significantly greater resolution than conventional approaches.  相似文献   

第一类算子方程的吉洪诺夫正则解的收敛性和渐近阶估计     

侯宗义  李荷秾 《CT理论与应用研究》1992,(3)

本文对于第一类算子方程当右端近似给定和当算子与右端皆近似分别给定时,讨论如何确定正则参数。并给出吉洪诺夫正则解的收敛性和渐近阶估计。  相似文献   

基于改进全变差正则化的GPR多尺度全波形双参数同步反演          下载免费PDF全文

王珣  冯德山  王向宇 《地球物理学报》1954,63(12):4485-4501

针对探地雷达（GPR）双参数全波形反演中电导率反演精度差、双参数存在串扰现象、反演计算量大、易陷入局部极值等问题.作者将具有多参数调节功能的L-BFGS算法引入到GPR时间域全波形反演中,它避免了对Hessian矩阵的直接存储与精确求解,减小了存储量和计算量.结合参数调节因子的选取,有效减小了同步反演时介电常数与电导率的串扰影响,在不降低介电常数反演精度的前提下,提高电导率参数的反演精度.通过在反演目标函数中加载改进全变差正则化方法,提高了反演的稳定性,使目标体边缘轮廓更加清晰.首先以简单模型为例,对比了单尺度反演与多尺度串行反演策略的优劣,说明多尺度串行反演有利于逐步搜索全局最优解;而开展参数调节因子的选取实验,说明合适的参数调节因子可以有效改善介质电导率的反演精度;测试了不同正则化的反演效果,表明改进全变差正则化能提高反演稳定性,显著降低模型重构误差.最后,分别对含噪合成数据和实测数据进行了反演测试,说明本文提出的多尺度、双参数反演具有较强的鲁棒性,能提供更丰富的信息约束,重构图像界面清晰、反演效果好.  相似文献