High-performance computing on GPUs for borehole electrical logging problems

The modern development of electrical logging of oil and gas wells requires the use of effective highperformance mathematical simulation programs. Applying numerical solutions of electrodynamics problems in full mathematical statements is difficult because of their high resource intensity. In the context of high-tech geophysical exploration, it is necessary to develop new fast algorithms and programs, as well as to apply equipment for high-performance computations. The work is concerned with the development of numerical algorithms for solving forward problems of borehole geoelectrics by applying high performance computing on GPUs. We have developed an algorithm for the simulation of resistivity logging data from oil and gas wells, by making use of high-performance CPU-GPU heterogeneous computations. The software implementations of the algorithm are made by means of NVIDIA CUDA technology. We have estimated the operating speed of CPU and GPU computations, including CPU-GPU ones. It is found that heterogeneous CPU-GPU computations enable speeding up in comparison with similar CPU or GPU calculations. Using the developed algorithm, we have simulated resistivity data in realistic models. The results of our investigation point to a high efficiency of the algorithm in respect to dealing with a wide variety of practical problems.