matrix unit
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2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Qiang Liu ◽  
Jianjun Liu ◽  
Guihong Pei ◽  
Zhengwen Zhu ◽  
Yun Lei

The fracture-control matrix unit (F-CMU) is a special body present in low-permeability fractured reservoirs that can be distinguished by a fracture system and a matrix system. The imbibition phenomenon of the F-CMU provides the possibility for secondary development of low-permeability fractured reservoirs because of the driving force including capillary force and gravity. However, the F-CMU is difficult to obtain during the field core drilling, which has limited the development for laboratory dynamic imbibition tests. Therefore, a new F-CMU reconstruction method is proposed in this study. According to the geometry and parameters, combining laser engraving technology, the fracture system is designed and engraved. Then, the F-CMU is established using a three-dimensional (3D) printed material called polyvinyl alcohol (PVA) as fracture support material which has a faster dissolution rate and causes less damage to the core due to water being the solvent. Finally, the porosity, permeability, and wettability of the matrix system and the T2 spectra from nuclear magnetic resonance (NMR) before and after reconstruction are measured. In addition, numerical simulation calculation of F-CMU permeability is performed. The results show that the characteristic parameters of the matrix system hardly change, indicating low damage to the core. The reconstructed fracture system is found on the T2 spectra, and the fracture permeability is consistent by comparing with the experimental and numerical simulation results. The permeability of the fracture system is about 104 orders of magnitude of the matrix system, which is closer to real core and meets the requirements needed for dynamic permeability experiments.


2019 ◽  
Vol 6 (1) ◽  
pp. 36
Author(s):  
Ahmad Rosyid Idris ◽  
Sarma Thaha

Indonesia is a tropical region with very large solarenergy where an average daily insulation of 4.5 - 4.8 KWh / m² /day. Based on this fact, solar energy is a potential form ofrenewable energy to be developed. This study aims to design aPLTS system which is the initial stage of planning PLTS systemdevelopment. This system Design uses Matlab software byutilizing the Matrix Unit Interface (GUI) Matlab to calculatethe amount of electrical load to be used, battery capacityrequirements, number of solar modules and large capacity ofthe inverter to be used. Location of the measurement datacollection takes place in the city of Pinrang, area of the Suppasub-district shrimp farm. Measurements are conducted todetermine how much solar radiation and air temperature in thepond area.


2016 ◽  
Vol 15 (10) ◽  
pp. 1650192 ◽  
Author(s):  
M. Dokuchaev ◽  
V. Kirichenko ◽  
M. Plakhotnyk

We describe two methods to determine all generators of the additive semigroup of the non-negative exponent [Formula: see text]-matrices, and illustrate them finding all generating [Formula: see text]-exponent matrices. The generating [Formula: see text]-exponent matrices are found using a computer. We consider the Hasse diagram [Formula: see text] of the partially ordered set of non-negative matrices and prove that for an arbitrary non-negative exponent matrix [Formula: see text] there exists an oriented path in [Formula: see text] starting in some matrix unit and ending in [Formula: see text] which does not pass through any other exponent matrix. We also show that for any non-negative exponent matrix [Formula: see text] there exists a chain of non-negative exponent matrices [Formula: see text] such that [Formula: see text] is a [Formula: see text]-matrix, and each [Formula: see text] is obtained from [Formula: see text] by adding a [Formula: see text]-matrix.


2013 ◽  
Vol 73 (8) ◽  
pp. 1146-1156 ◽  
Author(s):  
Mostafa I. Soliman ◽  
Abdulmajid F. Al-Junaid

2011 ◽  
Vol 61 (4) ◽  
Author(s):  
Massoud Amini

AbstractWe generalize the concept of Hecke pairs and study representations of the corresponding C*-algebra. We introduce the notions of covariant pairs and matrix unit pairs of representations in this general setting and show that covariant pairs are exactly faithful matrix unit pairs.


2010 ◽  
Vol 37-38 ◽  
pp. 757-760
Author(s):  
Zhi Bin Xie ◽  
Lei Shi

This article applies the method of formulating those test projects affecting product system properties into a matrix with tabular units. According to the complexity of product system, the complexity in test operation, economical cost for a test, etc., the paper proposes the concept of whole matrix unit, intersection matrix unit and particular matrix unit test plan to test the product properties. The result indicates that there are various complicated factors influencing the properties of the product, aggravating the unstability of products system in operation. By utilizing the unit test matrix method, we can obtain experimental data chain for advancing the product reliability design, optimizing product systematical structure. With the existing scientific and technical results, together with the experiment data analysis, mean value and strategy of reliability design, we can promote product reliability and robustness.


2010 ◽  
Vol 20 (02) ◽  
pp. 103-121 ◽  
Author(s):  
MOSTAFA I. SOLIMAN ◽  
ABDULMAJID F. Al-JUNAID

Technological advances in IC manufacturing provide us with the capability to integrate more and more functionality into a single chip. Today's modern processors have nearly one billion transistors on a single chip. With the increasing complexity of today's system, the designs have to be modeled at a high-level of abstraction before partitioning into hardware and software components for final implementation. This paper explains in detail the implementation and performance evaluation of a matrix processor called Mat-Core with SystemC (system level modeling language). Mat-Core is a research processor aiming at exploiting the increasingly number of transistors per IC to improve the performance of a wide range of applications. It extends a general-purpose scalar processor with a matrix unit. To hide memory latency, the extended matrix unit is decoupled into two components: address generation and data computation, which communicate through data queues. Like vector architectures, the data computation unit is organized in parallel lanes. However, on parallel lanes, Mat-Core can execute matrix-scalar, matrix-vector, and matrix-matrix instructions in addition to vector-scalar and vector-vector instructions. For controlling the execution of vector/matrix instructions on the matrix core, this paper extends the well known scoreboard technique. Furthermore, the performance of Mat-Core is evaluated on vector and matrix kernels. Our results show that the performance of four lanes Mat-Core with matrix registers of size 4 × 4 or 16 elements each, queues size of 10, start up time of 6 clock cycles, and memory latency of 10 clock cycles is about 0.94, 1.3, 2.3, 1.6, 2.3, and 5.5 FLOPs per clock cycle; achieved on scalar-vector multiplication, SAXPY, Givens, rank-1 update, vector-matrix multiplication, and matrix-matrix multiplication, respectively.


1998 ◽  
Vol 2 (1) ◽  
pp. 20-23 ◽  
Author(s):  
Haoran Duan ◽  
J.W. Lockwood ◽  
Sung Mo Kang
Keyword(s):  

1989 ◽  
Vol 120 ◽  
pp. 177-180
Author(s):  
Binyamin Schwarz ◽  
Abraham Zaks
Keyword(s):  

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