... parameters similar to that used in previous works [ Bello(2009) , Al-Ahmadi(2010) ]. This enables comparison of the resulting dimensionless solutions to the existing solutions. Next, Laplace transform is applied on the resulting dimensionless fluid flow equations under both inner boundary conditions...

..., the only caveat being that it must calibrated to a known solution or production history. hydraulic fracturing drillstem/well testing artificial intelligence upstream oil & gas fractal diffusivity equation spe 163057 laplace transform coefficient data mining pressure transient testing...

... Abstract Laplace transformation provides advantages in the solution of many pressure-transient analysis problems. Usually, these applications lead to a solution that needs to be inverted numerically to the real-time domain. The algorithm presented by Stehfest in 1970 is the most common tool...

... validity with an existing well. Artificial Intelligence conjecture Gibb beam pumping dynamometer card sucker rod reflection artificial lift system friction law Wave Equation Laplace transform polished rod rod string transformation society of petroleum engineers boundary condition...

... for which the Laplace transform can be easily obtained. Taking the Laplace transform of the B-splines, we then apply the convolution theorem in the Laplace domain and we calculate the sensitivities of the observed pressure response with respect to the B-spline weights by numerical inversion of the Laplace...

... Abstract In this paper we present the development of a rigorous approach for the solution of non-linear partial differential equations by use of the Laplace transformation — in particular, the convolution theorem for Laplace transforms. While the rigor of this new approach is general, our paper...

... for the desired wellbore pressure responses. The method of sources and sinks is used to compute the pressure response in the Laplace domain and the results are inverted numerically using the Stehfest Inversion algorithm 1 . We present fast accurate methods of taking numerical Laplace transforms of the source...

... as the length of the budget cycle. Because of this, the rate at which the ESP population changes during a field’s growth and decline is of considerable interest and hence the accumulation term must be retained. Instantaneous Run Time Laplace Transform Techniques By restricting the analysis...

... current methods give only parts of the information. P. 91^ extrapolation laplace transform upstream oil & gas artificial intelligence kernel function initial pressure estimation pressure history drillstem testing interpretation drillstem/well testing eqn coefficient machine...

... j ∂ t is obtained, with λ ′ 0 = 0 The latter equation can also be expressed in the dimensionless form, By passing to the Laplace transforms just off the diagonal. Since K is a non-negative diagonal matrix, the square root of K and its inverse can...

... for the solution of both homogeneous and heterogeneous, steady and time-dependent boundary value problems of pressure diffusion. Fourier transforms are applied on the space variable (Hankel transform for cylindrical geometry) and for the time variable we use the Laplace transform. If we note s...

... by inverting the complete Laplace transform to produce an exact, closed form, analytical solution. This new solution reduces to previously published early- and late-time solutions in the respective asymptotic limits. However, the new solution permits convenient pressure response to theory matching over...

... average pressure in Layer j (with respect to the thickness), and (15) t D = k h ¯   t μ ϕ c t h ¯   r w 2 is dimensionless time based on total reservoir properties. By passing to the Laplace transforms (16) P ¯ j D ( x D...

... Abstract In recent years, the numerical Laplace transformation of sampled-data has proven to be useful for well test analysis applications. However, the success of this approach is highly dependent on the algorithms used to transform sampled-data into Laplace space and to perform the numerical...

... pressure gas reservoir landfill reservoir gas generation spe 28638 maurer reservoir model boundary condition pressure solution upstream oil & gas laplace transform generation rate INTRODUCTION Municipal solid waste (MSW) is primarily composed of organic matter. The complex...

.... As background for the development of our solutions, we need to familiarize ourselves with the solutions for the uniform flux and infinite conductivity cases and the computational aspects of these solutions, ABSTRACT In this paper, we develop a simple, closed form approximation for the Laplace transform...

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... of wellbore fluids, phase changes in the wellbore and inertial effects due to rapid acceleration or deceleration of wellbore fluids. momentum effect laplace transform machine learning phase redistribution evolutionary algorithm general solution wellbore fluid pressure response generalized...

.... It is possible to include the wellbore storage parameter in the model on the same footing as the other model parameters. Dual porosity effects may be included by a simple replacement of the Laplace transform variable. Commingled system effects may be handled using the parallel resistance concept...

... fractured reservoir type curve crossplot infinite conductivity upstream oil & gas laplace transform aguilera dual porosity reservoir spe 22938 transform variable permeability drillstem/well testing hydraulically fractured well flow period drillstem testing decline curve analysis...