Maximization of a Dynamic Quadratic Interpolation Model for Production Optimization

Author(s):  
Hui Zhao ◽  
Chaohui Chen ◽  
Sy Thanh Do ◽  
Gaoming Li ◽  
Albert Coburn Reynolds
SPE Journal ◽  
2013 ◽  
Vol 18 (06) ◽  
pp. 1012-1025 ◽  
Author(s):  
Hui Zhao ◽  
Chaohui Chen ◽  
Sy Do ◽  
Diego Oliveira ◽  
Gaoming Li ◽  
...  

Summary We derive and implement a new optimization algorithm on the basis of a quadratic interpolation model (QIM) for the maximization (or minimization) of a cost or objective function. Although we have also applied the algorithm in other petroleum-engineering applications, this paper restricts the algorithm's application to the production-optimization step of closed-loop reservoir management in which the objective function is the net present value (NPV) of production from a given reservoir. The new algorithm does not require a gradient calculation with an adjoint method but does use an approximate gradient (AG). Thus, the general optimization algorithm is referred to as QIM-AG. QIM-AG represents a significant modification of an optimization algorithm—new unconstrained optimization algorithm (NEWUOA)—derived fairly recently in the mathematical literature. Production-optimization examples show that QIM-AG results in a higher NPV in fewer iterations than is obtained with NEWUOA. QIM-AG is also compared with two other optimization algorithms that use an AG—namely, a slightly improved implementation of ensemble optimization presented in this paper and a new implementation of simultaneous perturbation stochastic approximation (SPSA).


2013 ◽  
Vol 30 (06) ◽  
pp. 1350024 ◽  
Author(s):  
HAO LIU ◽  
HAI-JUN WANG ◽  
XIAO-YAN QIAN ◽  
QING-SHENG SHI

Based on some new interpolation conditions, a quadratic interpolation model is constructed to approximate the objective function, and then a class of modified BFGS methods with function value information is presented. The new methods satisfy some new weak secant equations and there is a parameter γ in the update formulae which ranges from zero to one. The global and local superlinear convergence properties of the new modified BFGS methods are proved. Numerical results for standard test problems from CUTE are reported, which indicate that all the methods in the proposed class perform well. Ensuring the sufficient positive definiteness of the updating matrices, an adaptive BFGS quasi-Newton method by dynamically choosing the parameter γ is proposed, which may be competitive with other BFGS modifications.


2019 ◽  
Author(s):  
Ahmed Alshmakhy ◽  
Khadija Al Daghar ◽  
Sameer Punnapala ◽  
Shamma AlShehhi ◽  
Abdel Ben Amara ◽  
...  

Agriculture ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 290
Author(s):  
Koffi Djaman ◽  
Curtis Owen ◽  
Margaret M. West ◽  
Samuel Allen ◽  
Komlan Koudahe ◽  
...  

The highly variable weather under changing climate conditions affects the establishment and the cutoff of crop growing season and exposes crops to failure if producers choose non-adapted relative maturity that matches the characteristics of the crop growing season. This study aimed to determine the relationship between maize hybrid relative maturity and the grain yield and determine the relative maturity range that will sustain maize production in northwest New Mexico (NM). Different relative maturity maize hybrids were grown at the Agricultural Science Center at Farmington ((Latitude 36.69° North, Longitude 108.31° West, elevation 1720 m) from 2003 to 2019 under sprinkler irrigation. A total of 343 hybrids were grouped as early and full season hybrids according to their relative maturity that ranged from 93 to 119 and 64 hybrids with unknown relative maturity. The crops were grown under optimal management condition with no stress of any kind. The results showed non-significant increase in grain yield in early season hybrids and non-significant decrease in grain yield with relative maturity in full season hybrids. The relative maturity range of 100–110 obtained reasonable high grain yields and could be considered under the northwestern New Mexico climatic conditions. However, more research should target the evaluation of different planting date coupled with plant population density to determine the planting window for the early season and full season hybrids for the production optimization and sustainability.


2019 ◽  
Author(s):  
Azis Hidayat ◽  
Dwi Hudya Febrianto ◽  
Elisa Wijayanti ◽  
Diniko Nurhajj ◽  
Ahmad Sujai ◽  
...  

Author(s):  
Débora S. Vilar ◽  
Clara D. Fernandes ◽  
Victor R.S. Nascimento ◽  
Nádia H. Torres ◽  
Manuela S. Leite ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document