Loss of drilling fluid in the Nasiriyah oil field can be considered as a big,
serious, and expensive problem at the same time, therefore accurate and integrated
program must be prepared before start drilling in layers that are likely to get loss
circulation. From the available data of well Ns-13, the area of loss was detected in
five layers, which are Dammam, Um- radoma, Tayarat, Shiranish and Hartha since
these layers contain natural cracks and high porosity represented by vugs.
Methods of prevention have been identified by specifying the minimum values
of drilling parameters to reduce hydrostatic pressure, thus reducing equivalent
density of drilling mud during the circulation, depths of casing shoes is
deter

The investigation of determining solutions for the Diophantine equation  over the Gaussian integer ring for the specific case of  is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.

     Background subtraction is the dominant approach in the domain of moving object detection. Lots of research has been done to design or improve background subtraction models. However, there are a few well-known and state-of-the-art models that can be applied as a benchmark. Generally, these models are applied to different dataset benchmarks. Most of the time, choosing an appropriate dataset is challenging due to the lack of dataset availability and the tedious process of creating ground-truth frames for the sake of quantitative evaluation. Therefore, in this article, we collected local video scenes of a street and river taken by a stationary camera, focusing on dynamic background challenges. We presented a new technique for creati