Introduction to the Numerical Modeling of Groundwater and by Jochen Bundschuh

By Jochen Bundschuh

This e-book presents an creation to the clinical basics of groundwater and geothermal structures. In an easy and didactic demeanour the several water and effort difficulties latest in deformable porous rocks are defined in addition to the corresponding theories and the mathematical and numerical instruments that bring about modeling and fixing them. This process offers the reader with a radical realizing of the fundamental actual legislation of thermoporoelastic rocks, the partial differential equations representing those legislation and the relevant numerical tools, which enable discovering approximate recommendations of the corresponding mathematical versions. The booklet additionally offers the shape during which particular worthwhile types should be generated and solved. The textual content is introductory within the feel that it explains simple subject matters of the platforms pointed out in 3 parts: engineering, physics and arithmetic. all of the legislation and equations brought during this ebook are formulated rigorously in accordance with primary actual rules. this manner, the reader will comprehend the most important significance of arithmetic utilized to all of the topics. easy types are emphasised and solved with a number of examples. For extra refined and complicated versions the numerical thoughts are defined and built rigorously.
This booklet will function a synoptic compendium of the basics of fluid, solute and warmth delivery, acceptable to every kind of subsurface platforms, starting from shallow aquifers all the way down to deep geothermal reservoirs.
The ebook will turn out to be an invaluable textbook to senior undergraduate and graduate scholars, postgraduates, expert geologists and geophysicists, engineers, mathematicians and others operating within the important components of groundwater and geothermal resources.

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By Jochen Bundschuh

This e-book presents an creation to the clinical basics of groundwater and geothermal structures. In an easy and didactic demeanour the several water and effort difficulties latest in deformable porous rocks are defined in addition to the corresponding theories and the mathematical and numerical instruments that bring about modeling and fixing them. This process offers the reader with a radical realizing of the fundamental actual legislation of thermoporoelastic rocks, the partial differential equations representing those legislation and the relevant numerical tools, which enable discovering approximate recommendations of the corresponding mathematical versions. The booklet additionally offers the shape during which particular worthwhile types should be generated and solved. The textual content is introductory within the feel that it explains simple subject matters of the platforms pointed out in 3 parts: engineering, physics and arithmetic. all of the legislation and equations brought during this ebook are formulated rigorously in accordance with primary actual rules. this manner, the reader will comprehend the most important significance of arithmetic utilized to all of the topics. easy types are emphasised and solved with a number of examples. For extra refined and complicated versions the numerical thoughts are defined and built rigorously.
This booklet will function a synoptic compendium of the basics of fluid, solute and warmth delivery, acceptable to every kind of subsurface platforms, starting from shallow aquifers all the way down to deep geothermal reservoirs.
The ebook will turn out to be an invaluable textbook to senior undergraduate and graduate scholars, postgraduates, expert geologists and geophysicists, engineers, mathematicians and others operating within the important components of groundwater and geothermal resources.

Show description

Read or Download Introduction to the Numerical Modeling of Groundwater and Geothermal Systems: Fundamentals of Mass, Energy and Solute Transport in Poroelastic Rocks PDF

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Extra info for Introduction to the Numerical Modeling of Groundwater and Geothermal Systems: Fundamentals of Mass, Energy and Solute Transport in Poroelastic Rocks

Example text

Here VB is the bulk control volume. 37a–c); 1/H is a special poroelastic expansion coefficient, which describes how much VB changes when pf changes while keeping the applied stress σ constant; 1/H also measures the changes of ζ when σ changes and pf remains constant. Finally 1/R is the unconstrained specific storage coefficient, which represents the changes of ζ when pf changes. This parameter is measured when the applied stress σ remains constant, ‘‘the value of 1/R is determined by the compressibilities of the frame, the pores, the fluid and the solid grains’’ (Wang 2000).

Diverse phenomena produce rock deformations, compaction, fracturing, creep and subsidence in reservoirs. Stress variations lead to changes in seismic velocities affecting the time-lapse seismic response. These processes are thermodynamically irreversible, yielding permanent plastic deformations that could reduce the reservoirs’ storage capacity. There are other important thermo-mechanical effects in aquifers, in geothermal reservoirs and in hydrocarbon fields. High pressure and temperature increase ductility and lower the yield point of the rock.

Arriaga and Verduzco 1998). , Blès and Feuga 1986) reported similar experiences. This phenomenon occurs because at the time a fault is generated within massive rocks, the original stress distribution is modified in a neighborhood around the fault, producing the development of different tension fractures especially near the end of the fault. In volcanic geothermal reservoirs, highly heterogeneous structural systems are developed, whereas in large sedimentary basins and in old basement rock areas, both useful for EGS, heterogeneity is lower.

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