This paper discusses the inversion of pressure data collected during hydraulic fracturing operations to yield parameters characteristic of the rock being fractured, its stress state and the geometry of the fracture using a simple approximate fracturing model, the Perkins-Kern-Nordgren (PKN) model. In particular the suitability of the constant pumping rate / shut-in schedule is considered. This example gives a flavour of the mathematical difficulties arising in numerical modelling of hydraulic fracturing and in the processing of fracturing test data. The results might be helpful for development of advanced interpretation techniques required for hydraulic fracturing design and evaluation.
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