Conditional Stochastic Simulations of Flow and Transport with Karhunen-Loève Expansions, Stochastic Collocation, and Sequential Gaussian Simulation
المؤلفون المشاركون
Ossiander, Mina E.
Vasylkivska, Veronika S.
Peszynska, Malgorzata
المصدر
Journal of Applied Mathematics
العدد
المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-21، 21ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2014-10-14
دولة النشر
مصر
عدد الصفحات
21
التخصصات الرئيسية
الملخص EN
We derive a new method of conditional Karhunen-Loève (KL) expansions for stochastic coefficients in models of flow and transport in the subsurface, and in particular for the heterogeneous random permeability field.
Exact values of this field are never known, and thus one must evaluate uncertainty of solutions to the flow and transport models.
This is typically done by constructing independent realizations of the permeability field followed by numerical simulations of flow and transport for each realization and assembling statistical estimates of moments of desired quantities of interest.
We follow the well-known framework of KL expansions and derive a new method that incorporates known values of the permeability at given locations so that the realizations of the permeability field honor this data exactly.
Our method relies on projections to an appropriate subspace of random weights applied to the eigenfunctions of the covariance operator.
We use the permeability realizations constructed with our stochastic simulation method in simulations of flow and transport and compare the results to those obtained when realizations are constructed with sequential Gaussian simulation (SGS).
We also compare efficiency and stochastic convergence with that of stochastic collocation.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Ossiander, Mina E.& Peszynska, Malgorzata& Vasylkivska, Veronika S.. 2014. Conditional Stochastic Simulations of Flow and Transport with Karhunen-Loève Expansions, Stochastic Collocation, and Sequential Gaussian Simulation. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-1039751
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Ossiander, Mina E.…[et al.]. Conditional Stochastic Simulations of Flow and Transport with Karhunen-Loève Expansions, Stochastic Collocation, and Sequential Gaussian Simulation. Journal of Applied Mathematics No. 2014 (2014), pp.1-21.
https://search.emarefa.net/detail/BIM-1039751
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Ossiander, Mina E.& Peszynska, Malgorzata& Vasylkivska, Veronika S.. Conditional Stochastic Simulations of Flow and Transport with Karhunen-Loève Expansions, Stochastic Collocation, and Sequential Gaussian Simulation. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-21.
https://search.emarefa.net/detail/BIM-1039751
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1039751
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر